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Finding the Fourth Proportional to 691.54, 1,030.73 and 652.66

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Solution

The fourth proportional to 691.54, 1,030.73 and 652.66 is: 972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 1,030.73 = 652.66 : x
  2. Step 2: Convert to fraction form
    691.54/1,030.73 = 652.66/x
  3. Step 3: Cross multiply
    691.54x = 1,030.73 × 652.66
  4. Step 4: Simplify right side
    691.54x = 672,716.24
  5. Step 5: Solve for x
    x = 672,716.24/691.54
  6. Step 6: Final answer
    x = 972.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.