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Finding the Fourth Proportional to 524.80, 787.34 and 516.10

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Solution

The fourth proportional to 524.80, 787.34 and 516.10 is: 774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.80 : 787.34 = 516.10 : x
  2. Step 2: Convert to fraction form
    524.80/787.34 = 516.10/x
  3. Step 3: Cross multiply
    524.80x = 787.34 × 516.10
  4. Step 4: Simplify right side
    524.80x = 406,346.17
  5. Step 5: Solve for x
    x = 406,346.17/524.80
  6. Step 6: Final answer
    x = 774.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.