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Finding the Fourth Proportional to 731.65, 1,009.69 and 400.09

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Solution

The fourth proportional to 731.65, 1,009.69 and 400.09 is: 552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.65 : 1,009.69 = 400.09 : x
  2. Step 2: Convert to fraction form
    731.65/1,009.69 = 400.09/x
  3. Step 3: Cross multiply
    731.65x = 1,009.69 × 400.09
  4. Step 4: Simplify right side
    731.65x = 403,966.87
  5. Step 5: Solve for x
    x = 403,966.87/731.65
  6. Step 6: Final answer
    x = 552.13

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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.