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Finding the Fourth Proportional to 814.76, 1,124.57 and 727.28

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Solution

The fourth proportional to 814.76, 1,124.57 and 727.28 is: 1,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.76 : 1,124.57 = 727.28 : x
  2. Step 2: Convert to fraction form
    814.76/1,124.57 = 727.28/x
  3. Step 3: Cross multiply
    814.76x = 1,124.57 × 727.28
  4. Step 4: Simplify right side
    814.76x = 817,868.01
  5. Step 5: Solve for x
    x = 817,868.01/814.76
  6. Step 6: Final answer
    x = 1,003.82

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1.5x scale

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.