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Finding the Fourth Proportional to 1,083.21, 1,494.96 and 690.77

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Solution

The fourth proportional to 1,083.21, 1,494.96 and 690.77 is: 953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.21 : 1,494.96 = 690.77 : x
  2. Step 2: Convert to fraction form
    1,083.21/1,494.96 = 690.77/x
  3. Step 3: Cross multiply
    1,083.21x = 1,494.96 × 690.77
  4. Step 4: Simplify right side
    1,083.21x = 1,032,666.04
  5. Step 5: Solve for x
    x = 1,032,666.04/1,083.21
  6. Step 6: Final answer
    x = 953.34

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Half scale
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Double scale
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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.