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Finding the Fourth Proportional to 691.49, 1,035.63 and 416.97

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Solution

The fourth proportional to 691.49, 1,035.63 and 416.97 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.49 : 1,035.63 = 416.97 : x
  2. Step 2: Convert to fraction form
    691.49/1,035.63 = 416.97/x
  3. Step 3: Cross multiply
    691.49x = 1,035.63 × 416.97
  4. Step 4: Simplify right side
    691.49x = 431,826.64
  5. Step 5: Solve for x
    x = 431,826.64/691.49
  6. Step 6: Final answer
    x = 624.49

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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.