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Finding the Fourth Proportional to 425.57, 638.51 and 304.78

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Solution

The fourth proportional to 425.57, 638.51 and 304.78 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.57 : 638.51 = 304.78 : x
  2. Step 2: Convert to fraction form
    425.57/638.51 = 304.78/x
  3. Step 3: Cross multiply
    425.57x = 638.51 × 304.78
  4. Step 4: Simplify right side
    425.57x = 194,605.08
  5. Step 5: Solve for x
    x = 194,605.08/425.57
  6. Step 6: Final answer
    x = 457.28

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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.