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Finding the Fourth Proportional to 901.89, 1,349.96 and 484.85

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Solution

The fourth proportional to 901.89, 1,349.96 and 484.85 is: 725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.89 : 1,349.96 = 484.85 : x
  2. Step 2: Convert to fraction form
    901.89/1,349.96 = 484.85/x
  3. Step 3: Cross multiply
    901.89x = 1,349.96 × 484.85
  4. Step 4: Simplify right side
    901.89x = 654,518.93
  5. Step 5: Solve for x
    x = 654,518.93/901.89
  6. Step 6: Final answer
    x = 725.72

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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.