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Finding the Fourth Proportional to 691.06, 953.73 and 516.10

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Solution

The fourth proportional to 691.06, 953.73 and 516.10 is: 712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.06 : 953.73 = 516.10 : x
  2. Step 2: Convert to fraction form
    691.06/953.73 = 516.10/x
  3. Step 3: Cross multiply
    691.06x = 953.73 × 516.10
  4. Step 4: Simplify right side
    691.06x = 492,220.05
  5. Step 5: Solve for x
    x = 492,220.05/691.06
  6. Step 6: Final answer
    x = 712.27

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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.