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Finding the Fourth Proportional to 454.84, 624.42 and 392.58

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Solution

The fourth proportional to 454.84, 624.42 and 392.58 is: 538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 624.42 = 392.58 : x
  2. Step 2: Convert to fraction form
    454.84/624.42 = 392.58/x
  3. Step 3: Cross multiply
    454.84x = 624.42 × 392.58
  4. Step 4: Simplify right side
    454.84x = 245,134.80
  5. Step 5: Solve for x
    x = 245,134.80/454.84
  6. Step 6: Final answer
    x = 538.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.