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Finding the Fourth Proportional to 731.88, 1,098 and 407.46

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Solution

The fourth proportional to 731.88, 1,098 and 407.46 is: 611.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.88 : 1,098 = 407.46 : x
  2. Step 2: Convert to fraction form
    731.88/1,098 = 407.46/x
  3. Step 3: Cross multiply
    731.88x = 1,098 × 407.46
  4. Step 4: Simplify right side
    731.88x = 447,391.08
  5. Step 5: Solve for x
    x = 447,391.08/731.88
  6. Step 6: Final answer
    x = 611.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.