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Finding the Fourth Proportional to 713.76, 984.60 and 516.93

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Solution

The fourth proportional to 713.76, 984.60 and 516.93 is: 713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 984.60 = 516.93 : x
  2. Step 2: Convert to fraction form
    713.76/984.60 = 516.93/x
  3. Step 3: Cross multiply
    713.76x = 984.60 × 516.93
  4. Step 4: Simplify right side
    713.76x = 508,969.28
  5. Step 5: Solve for x
    x = 508,969.28/713.76
  6. Step 6: Final answer
    x = 713.08

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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.