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Finding the Fourth Proportional to 744.28, 1,115.57 and 281.77

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Solution

The fourth proportional to 744.28, 1,115.57 and 281.77 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.28 : 1,115.57 = 281.77 : x
  2. Step 2: Convert to fraction form
    744.28/1,115.57 = 281.77/x
  3. Step 3: Cross multiply
    744.28x = 1,115.57 × 281.77
  4. Step 4: Simplify right side
    744.28x = 314,328.58
  5. Step 5: Solve for x
    x = 314,328.58/744.28
  6. Step 6: Final answer
    x = 422.33

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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.