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Finding the Fourth Proportional to 731.09, 1,009.19 and 469.13

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Solution

The fourth proportional to 731.09, 1,009.19 and 469.13 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.09 : 1,009.19 = 469.13 : x
  2. Step 2: Convert to fraction form
    731.09/1,009.19 = 469.13/x
  3. Step 3: Cross multiply
    731.09x = 1,009.19 × 469.13
  4. Step 4: Simplify right side
    731.09x = 473,437.43
  5. Step 5: Solve for x
    x = 473,437.43/731.09
  6. Step 6: Final answer
    x = 647.58

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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.