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Finding the Fourth Proportional to 457.50, 630.51 and 422.70

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Solution

The fourth proportional to 457.50, 630.51 and 422.70 is: 582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.50 : 630.51 = 422.70 : x
  2. Step 2: Convert to fraction form
    457.50/630.51 = 422.70/x
  3. Step 3: Cross multiply
    457.50x = 630.51 × 422.70
  4. Step 4: Simplify right side
    457.50x = 266,516.58
  5. Step 5: Solve for x
    x = 266,516.58/457.50
  6. Step 6: Final answer
    x = 582.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.