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Finding the Fourth Proportional to 691.66, 1,032.40 and 633.95

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Solution

The fourth proportional to 691.66, 1,032.40 and 633.95 is: 946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.66 : 1,032.40 = 633.95 : x
  2. Step 2: Convert to fraction form
    691.66/1,032.40 = 633.95/x
  3. Step 3: Cross multiply
    691.66x = 1,032.40 × 633.95
  4. Step 4: Simplify right side
    691.66x = 654,489.98
  5. Step 5: Solve for x
    x = 654,489.98/691.66
  6. Step 6: Final answer
    x = 946.26

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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.