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Finding the Fourth Proportional to 691.31, 1,036.78 and 471.89

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Solution

The fourth proportional to 691.31, 1,036.78 and 471.89 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.31 : 1,036.78 = 471.89 : x
  2. Step 2: Convert to fraction form
    691.31/1,036.78 = 471.89/x
  3. Step 3: Cross multiply
    691.31x = 1,036.78 × 471.89
  4. Step 4: Simplify right side
    691.31x = 489,245.01
  5. Step 5: Solve for x
    x = 489,245.01/691.31
  6. Step 6: Final answer
    x = 707.71

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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.