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Finding the Fourth Proportional to 815.28, 1,125.27 and 684.06

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Solution

The fourth proportional to 815.28, 1,125.27 and 684.06 is: 944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.28 : 1,125.27 = 684.06 : x
  2. Step 2: Convert to fraction form
    815.28/1,125.27 = 684.06/x
  3. Step 3: Cross multiply
    815.28x = 1,125.27 × 684.06
  4. Step 4: Simplify right side
    815.28x = 769,752.20
  5. Step 5: Solve for x
    x = 769,752.20/815.28
  6. Step 6: Final answer
    x = 944.16

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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.