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Finding the Fourth Proportional to 691.19, 1,035.57 and 615.86

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Solution

The fourth proportional to 691.19, 1,035.57 and 615.86 is: 922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.19 : 1,035.57 = 615.86 : x
  2. Step 2: Convert to fraction form
    691.19/1,035.57 = 615.86/x
  3. Step 3: Cross multiply
    691.19x = 1,035.57 × 615.86
  4. Step 4: Simplify right side
    691.19x = 637,766.14
  5. Step 5: Solve for x
    x = 637,766.14/691.19
  6. Step 6: Final answer
    x = 922.71

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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.