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Finding the Fourth Proportional to 1,033.20, 1,423.80 and 737.64

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Solution

The fourth proportional to 1,033.20, 1,423.80 and 737.64 is: 1,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.20 : 1,423.80 = 737.64 : x
  2. Step 2: Convert to fraction form
    1,033.20/1,423.80 = 737.64/x
  3. Step 3: Cross multiply
    1,033.20x = 1,423.80 × 737.64
  4. Step 4: Simplify right side
    1,033.20x = 1,050,251.83
  5. Step 5: Solve for x
    x = 1,050,251.83/1,033.20
  6. Step 6: Final answer
    x = 1,016.50

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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.