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Finding the Fourth Proportional to 691.43, 1,035.76 and 416.69

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Solution

The fourth proportional to 691.43, 1,035.76 and 416.69 is: 624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.43 : 1,035.76 = 416.69 : x
  2. Step 2: Convert to fraction form
    691.43/1,035.76 = 416.69/x
  3. Step 3: Cross multiply
    691.43x = 1,035.76 × 416.69
  4. Step 4: Simplify right side
    691.43x = 431,590.83
  5. Step 5: Solve for x
    x = 431,590.83/691.43
  6. Step 6: Final answer
    x = 624.20

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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.