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Finding the Fourth Proportional to 731.49, 1,009 and 632.31

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Solution

The fourth proportional to 731.49, 1,009 and 632.31 is: 872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.49 : 1,009 = 632.31 : x
  2. Step 2: Convert to fraction form
    731.49/1,009 = 632.31/x
  3. Step 3: Cross multiply
    731.49x = 1,009 × 632.31
  4. Step 4: Simplify right side
    731.49x = 638,000.79
  5. Step 5: Solve for x
    x = 638,000.79/731.49
  6. Step 6: Final answer
    x = 872.19

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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.