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Finding the Fourth Proportional to 898.12, 1,344.75 and 737.74

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Solution

The fourth proportional to 898.12, 1,344.75 and 737.74 is: 1,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.12 : 1,344.75 = 737.74 : x
  2. Step 2: Convert to fraction form
    898.12/1,344.75 = 737.74/x
  3. Step 3: Cross multiply
    898.12x = 1,344.75 × 737.74
  4. Step 4: Simplify right side
    898.12x = 992,075.87
  5. Step 5: Solve for x
    x = 992,075.87/898.12
  6. Step 6: Final answer
    x = 1,104.61

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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.