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Finding the Fourth Proportional to 725.01, 1,085.07 and 492.94

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Solution

The fourth proportional to 725.01, 1,085.07 and 492.94 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.01 : 1,085.07 = 492.94 : x
  2. Step 2: Convert to fraction form
    725.01/1,085.07 = 492.94/x
  3. Step 3: Cross multiply
    725.01x = 1,085.07 × 492.94
  4. Step 4: Simplify right side
    725.01x = 534,874.41
  5. Step 5: Solve for x
    x = 534,874.41/725.01
  6. Step 6: Final answer
    x = 737.75

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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.