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Finding the Fourth Proportional to 525.76, 781.96 and 514.82

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Solution

The fourth proportional to 525.76, 781.96 and 514.82 is: 765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.76 : 781.96 = 514.82 : x
  2. Step 2: Convert to fraction form
    525.76/781.96 = 514.82/x
  3. Step 3: Cross multiply
    525.76x = 781.96 × 514.82
  4. Step 4: Simplify right side
    525.76x = 402,569.93
  5. Step 5: Solve for x
    x = 402,569.93/525.76
  6. Step 6: Final answer
    x = 765.70

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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.