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Finding the Fourth Proportional to 691.43, 1,035.79 and 416.70

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Solution

The fourth proportional to 691.43, 1,035.79 and 416.70 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.43 : 1,035.79 = 416.70 : x
  2. Step 2: Convert to fraction form
    691.43/1,035.79 = 416.70/x
  3. Step 3: Cross multiply
    691.43x = 1,035.79 × 416.70
  4. Step 4: Simplify right side
    691.43x = 431,612.65
  5. Step 5: Solve for x
    x = 431,612.65/691.43
  6. Step 6: Final answer
    x = 624.24

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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.