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Finding the Fourth Proportional to 691.97, 1,036.92 and 546.06

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Solution

The fourth proportional to 691.97, 1,036.92 and 546.06 is: 818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.97 : 1,036.92 = 546.06 : x
  2. Step 2: Convert to fraction form
    691.97/1,036.92 = 546.06/x
  3. Step 3: Cross multiply
    691.97x = 1,036.92 × 546.06
  4. Step 4: Simplify right side
    691.97x = 566,220.54
  5. Step 5: Solve for x
    x = 566,220.54/691.97
  6. Step 6: Final answer
    x = 818.27

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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.