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Finding the Fourth Proportional to 713.73, 1,066.07 and 700.75

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Solution

The fourth proportional to 713.73, 1,066.07 and 700.75 is: 1,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 1,066.07 = 700.75 : x
  2. Step 2: Convert to fraction form
    713.73/1,066.07 = 700.75/x
  3. Step 3: Cross multiply
    713.73x = 1,066.07 × 700.75
  4. Step 4: Simplify right side
    713.73x = 747,048.55
  5. Step 5: Solve for x
    x = 747,048.55/713.73
  6. Step 6: Final answer
    x = 1,046.68

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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.