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Finding the Fourth Proportional to 698.71, 1,048.56 and 516.59

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Solution

The fourth proportional to 698.71, 1,048.56 and 516.59 is: 775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.71 : 1,048.56 = 516.59 : x
  2. Step 2: Convert to fraction form
    698.71/1,048.56 = 516.59/x
  3. Step 3: Cross multiply
    698.71x = 1,048.56 × 516.59
  4. Step 4: Simplify right side
    698.71x = 541,675.61
  5. Step 5: Solve for x
    x = 541,675.61/698.71
  6. Step 6: Final answer
    x = 775.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.