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Finding the Fourth Proportional to 456.62, 681.57 and 424.52

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Solution

The fourth proportional to 456.62, 681.57 and 424.52 is: 633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.62 : 681.57 = 424.52 : x
  2. Step 2: Convert to fraction form
    456.62/681.57 = 424.52/x
  3. Step 3: Cross multiply
    456.62x = 681.57 × 424.52
  4. Step 4: Simplify right side
    456.62x = 289,340.10
  5. Step 5: Solve for x
    x = 289,340.10/456.62
  6. Step 6: Final answer
    x = 633.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.