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Finding the Fourth Proportional to 524.15, 780.24 and 516.37

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Solution

The fourth proportional to 524.15, 780.24 and 516.37 is: 768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.15 : 780.24 = 516.37 : x
  2. Step 2: Convert to fraction form
    524.15/780.24 = 516.37/x
  3. Step 3: Cross multiply
    524.15x = 780.24 × 516.37
  4. Step 4: Simplify right side
    524.15x = 402,892.53
  5. Step 5: Solve for x
    x = 402,892.53/524.15
  6. Step 6: Final answer
    x = 768.66

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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.