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Finding the Fourth Proportional to 456.39, 681.39 and 383.49

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Solution

The fourth proportional to 456.39, 681.39 and 383.49 is: 572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.39 : 681.39 = 383.49 : x
  2. Step 2: Convert to fraction form
    456.39/681.39 = 383.49/x
  3. Step 3: Cross multiply
    456.39x = 681.39 × 383.49
  4. Step 4: Simplify right side
    456.39x = 261,306.25
  5. Step 5: Solve for x
    x = 261,306.25/456.39
  6. Step 6: Final answer
    x = 572.55

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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.