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Finding the Fourth Proportional to 1,304.39, 1,798.20 and 806.75

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Solution

The fourth proportional to 1,304.39, 1,798.20 and 806.75 is: 1,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.39 : 1,798.20 = 806.75 : x
  2. Step 2: Convert to fraction form
    1,304.39/1,798.20 = 806.75/x
  3. Step 3: Cross multiply
    1,304.39x = 1,798.20 × 806.75
  4. Step 4: Simplify right side
    1,304.39x = 1,450,697.85
  5. Step 5: Solve for x
    x = 1,450,697.85/1,304.39
  6. Step 6: Final answer
    x = 1,112.17

Related Problems

Find fourth proportional to 652.20, 899.10 and 403.38
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.