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Finding the Fourth Proportional to 982.53, 1,472.54 and 461.38

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Solution

The fourth proportional to 982.53, 1,472.54 and 461.38 is: 691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.53 : 1,472.54 = 461.38 : x
  2. Step 2: Convert to fraction form
    982.53/1,472.54 = 461.38/x
  3. Step 3: Cross multiply
    982.53x = 1,472.54 × 461.38
  4. Step 4: Simplify right side
    982.53x = 679,394.52
  5. Step 5: Solve for x
    x = 679,394.52/982.53
  6. Step 6: Final answer
    x = 691.47

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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.