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Finding the Fourth Proportional to 706.92, 1,060.23 and 500.91

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Solution

The fourth proportional to 706.92, 1,060.23 and 500.91 is: 751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 1,060.23 = 500.91 : x
  2. Step 2: Convert to fraction form
    706.92/1,060.23 = 500.91/x
  3. Step 3: Cross multiply
    706.92x = 1,060.23 × 500.91
  4. Step 4: Simplify right side
    706.92x = 531,079.81
  5. Step 5: Solve for x
    x = 531,079.81/706.92
  6. Step 6: Final answer
    x = 751.26

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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.