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Finding the Fourth Proportional to 901.93, 1,352.89 and 737.90

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Solution

The fourth proportional to 901.93, 1,352.89 and 737.90 is: 1,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.93 : 1,352.89 = 737.90 : x
  2. Step 2: Convert to fraction form
    901.93/1,352.89 = 737.90/x
  3. Step 3: Cross multiply
    901.93x = 1,352.89 × 737.90
  4. Step 4: Simplify right side
    901.93x = 998,301.84
  5. Step 5: Solve for x
    x = 998,301.84/901.93
  6. Step 6: Final answer
    x = 1,106.85

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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.