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Finding the Fourth Proportional to 730.92, 1,086.99 and 707.86

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Solution

The fourth proportional to 730.92, 1,086.99 and 707.86 is: 1,052.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.92 : 1,086.99 = 707.86 : x
  2. Step 2: Convert to fraction form
    730.92/1,086.99 = 707.86/x
  3. Step 3: Cross multiply
    730.92x = 1,086.99 × 707.86
  4. Step 4: Simplify right side
    730.92x = 769,429.33
  5. Step 5: Solve for x
    x = 769,429.33/730.92
  6. Step 6: Final answer
    x = 1,052.68

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