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Finding the Fourth Proportional to 610.24, 841.20 and 516.64

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Solution

The fourth proportional to 610.24, 841.20 and 516.64 is: 712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.24 : 841.20 = 516.64 : x
  2. Step 2: Convert to fraction form
    610.24/841.20 = 516.64/x
  3. Step 3: Cross multiply
    610.24x = 841.20 × 516.64
  4. Step 4: Simplify right side
    610.24x = 434,597.57
  5. Step 5: Solve for x
    x = 434,597.57/610.24
  6. Step 6: Final answer
    x = 712.17

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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.