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Finding the Fourth Proportional to 506.57, 756.70 and 424.55

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Solution

The fourth proportional to 506.57, 756.70 and 424.55 is: 634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.57 : 756.70 = 424.55 : x
  2. Step 2: Convert to fraction form
    506.57/756.70 = 424.55/x
  3. Step 3: Cross multiply
    506.57x = 756.70 × 424.55
  4. Step 4: Simplify right side
    506.57x = 321,257.82
  5. Step 5: Solve for x
    x = 321,257.82/506.57
  6. Step 6: Final answer
    x = 634.19

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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.