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Finding the Fourth Proportional to 731.97, 1,009.80 and 466.27

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Solution

The fourth proportional to 731.97, 1,009.80 and 466.27 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.97 : 1,009.80 = 466.27 : x
  2. Step 2: Convert to fraction form
    731.97/1,009.80 = 466.27/x
  3. Step 3: Cross multiply
    731.97x = 1,009.80 × 466.27
  4. Step 4: Simplify right side
    731.97x = 470,839.45
  5. Step 5: Solve for x
    x = 470,839.45/731.97
  6. Step 6: Final answer
    x = 643.25

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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.