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Finding the Fourth Proportional to 516.65, 770.07 and 487.46

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Solution

The fourth proportional to 516.65, 770.07 and 487.46 is: 726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 770.07 = 487.46 : x
  2. Step 2: Convert to fraction form
    516.65/770.07 = 487.46/x
  3. Step 3: Cross multiply
    516.65x = 770.07 × 487.46
  4. Step 4: Simplify right side
    516.65x = 375,378.32
  5. Step 5: Solve for x
    x = 375,378.32/516.65
  6. Step 6: Final answer
    x = 726.56

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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.