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Finding the Fourth Proportional to 709.96, 1,062.62 and 642.60

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Solution

The fourth proportional to 709.96, 1,062.62 and 642.60 is: 961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.96 : 1,062.62 = 642.60 : x
  2. Step 2: Convert to fraction form
    709.96/1,062.62 = 642.60/x
  3. Step 3: Cross multiply
    709.96x = 1,062.62 × 642.60
  4. Step 4: Simplify right side
    709.96x = 682,839.61
  5. Step 5: Solve for x
    x = 682,839.61/709.96
  6. Step 6: Final answer
    x = 961.80

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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.