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Finding the Fourth Proportional to 713.41, 1,065.70 and 516.85

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Solution

The fourth proportional to 713.41, 1,065.70 and 516.85 is: 772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.41 : 1,065.70 = 516.85 : x
  2. Step 2: Convert to fraction form
    713.41/1,065.70 = 516.85/x
  3. Step 3: Cross multiply
    713.41x = 1,065.70 × 516.85
  4. Step 4: Simplify right side
    713.41x = 550,807.05
  5. Step 5: Solve for x
    x = 550,807.05/713.41
  6. Step 6: Final answer
    x = 772.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.