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Finding the Fourth Proportional to 731.57, 1,009.56 and 437.03

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Solution

The fourth proportional to 731.57, 1,009.56 and 437.03 is: 603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.57 : 1,009.56 = 437.03 : x
  2. Step 2: Convert to fraction form
    731.57/1,009.56 = 437.03/x
  3. Step 3: Cross multiply
    731.57x = 1,009.56 × 437.03
  4. Step 4: Simplify right side
    731.57x = 441,208.38
  5. Step 5: Solve for x
    x = 441,208.38/731.57
  6. Step 6: Final answer
    x = 603.10

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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.