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Finding the Fourth Proportional to 1,056.91, 1,458.87 and 725.80

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Solution

The fourth proportional to 1,056.91, 1,458.87 and 725.80 is: 1,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.91 : 1,458.87 = 725.80 : x
  2. Step 2: Convert to fraction form
    1,056.91/1,458.87 = 725.80/x
  3. Step 3: Cross multiply
    1,056.91x = 1,458.87 × 725.80
  4. Step 4: Simplify right side
    1,056.91x = 1,058,847.85
  5. Step 5: Solve for x
    x = 1,058,847.85/1,056.91
  6. Step 6: Final answer
    x = 1,001.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.