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Finding the Fourth Proportional to 517.95, 715.79 and 424.55

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Solution

The fourth proportional to 517.95, 715.79 and 424.55 is: 586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 715.79 = 424.55 : x
  2. Step 2: Convert to fraction form
    517.95/715.79 = 424.55/x
  3. Step 3: Cross multiply
    517.95x = 715.79 × 424.55
  4. Step 4: Simplify right side
    517.95x = 303,886.13
  5. Step 5: Solve for x
    x = 303,886.13/517.95
  6. Step 6: Final answer
    x = 586.71

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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.