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Finding the Fourth Proportional to 516.92, 780.06 and 501.53

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Solution

The fourth proportional to 516.92, 780.06 and 501.53 is: 756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.92 : 780.06 = 501.53 : x
  2. Step 2: Convert to fraction form
    516.92/780.06 = 501.53/x
  3. Step 3: Cross multiply
    516.92x = 780.06 × 501.53
  4. Step 4: Simplify right side
    516.92x = 391,221.47
  5. Step 5: Solve for x
    x = 391,221.47/516.92
  6. Step 6: Final answer
    x = 756.84

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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.