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Finding the Fourth Proportional to 1,616.68, 2,425.42 and 462.42

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Solution

The fourth proportional to 1,616.68, 2,425.42 and 462.42 is: 693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.68 : 2,425.42 = 462.42 : x
  2. Step 2: Convert to fraction form
    1,616.68/2,425.42 = 462.42/x
  3. Step 3: Cross multiply
    1,616.68x = 2,425.42 × 462.42
  4. Step 4: Simplify right side
    1,616.68x = 1,121,562.72
  5. Step 5: Solve for x
    x = 1,121,562.72/1,616.68
  6. Step 6: Final answer
    x = 693.74

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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.