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Finding the Fourth Proportional to 731.66, 1,009.42 and 469.58

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Solution

The fourth proportional to 731.66, 1,009.42 and 469.58 is: 647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.66 : 1,009.42 = 469.58 : x
  2. Step 2: Convert to fraction form
    731.66/1,009.42 = 469.58/x
  3. Step 3: Cross multiply
    731.66x = 1,009.42 × 469.58
  4. Step 4: Simplify right side
    731.66x = 473,997.22
  5. Step 5: Solve for x
    x = 473,997.22/731.66
  6. Step 6: Final answer
    x = 647.84

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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.