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Finding the Fourth Proportional to 815.96, 1,125.28 and 698.28

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Solution

The fourth proportional to 815.96, 1,125.28 and 698.28 is: 962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.96 : 1,125.28 = 698.28 : x
  2. Step 2: Convert to fraction form
    815.96/1,125.28 = 698.28/x
  3. Step 3: Cross multiply
    815.96x = 1,125.28 × 698.28
  4. Step 4: Simplify right side
    815.96x = 785,760.52
  5. Step 5: Solve for x
    x = 785,760.52/815.96
  6. Step 6: Final answer
    x = 962.99

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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.