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Finding the Fourth Proportional to 691.20, 953.60 and 516.16

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Solution

The fourth proportional to 691.20, 953.60 and 516.16 is: 712.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 953.60 = 516.16 : x
  2. Step 2: Convert to fraction form
    691.20/953.60 = 516.16/x
  3. Step 3: Cross multiply
    691.20x = 953.60 × 516.16
  4. Step 4: Simplify right side
    691.20x = 492,210.18
  5. Step 5: Solve for x
    x = 492,210.18/691.20
  6. Step 6: Final answer
    x = 712.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.