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Finding the Fourth Proportional to 1,304.21, 1,799.94 and 744.77

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Solution

The fourth proportional to 1,304.21, 1,799.94 and 744.77 is: 1,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.21 : 1,799.94 = 744.77 : x
  2. Step 2: Convert to fraction form
    1,304.21/1,799.94 = 744.77/x
  3. Step 3: Cross multiply
    1,304.21x = 1,799.94 × 744.77
  4. Step 4: Simplify right side
    1,304.21x = 1,340,538.48
  5. Step 5: Solve for x
    x = 1,340,538.48/1,304.21
  6. Step 6: Final answer
    x = 1,027.85

Related Problems

Find fourth proportional to 652.11, 899.97 and 372.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.