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Finding the Fourth Proportional to 516.20, 770.13 and 487.40

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Solution

The fourth proportional to 516.20, 770.13 and 487.40 is: 727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 770.13 = 487.40 : x
  2. Step 2: Convert to fraction form
    516.20/770.13 = 487.40/x
  3. Step 3: Cross multiply
    516.20x = 770.13 × 487.40
  4. Step 4: Simplify right side
    516.20x = 375,361.36
  5. Step 5: Solve for x
    x = 375,361.36/516.20
  6. Step 6: Final answer
    x = 727.16

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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.