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Finding the Fourth Proportional to 517.86, 781.25 and 492.21

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Solution

The fourth proportional to 517.86, 781.25 and 492.21 is: 742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.86 : 781.25 = 492.21 : x
  2. Step 2: Convert to fraction form
    517.86/781.25 = 492.21/x
  3. Step 3: Cross multiply
    517.86x = 781.25 × 492.21
  4. Step 4: Simplify right side
    517.86x = 384,536.60
  5. Step 5: Solve for x
    x = 384,536.60/517.86
  6. Step 6: Final answer
    x = 742.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.