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Finding the Fourth Proportional to 615.24, 921.26 and 534.11

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Solution

The fourth proportional to 615.24, 921.26 and 534.11 is: 799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.24 : 921.26 = 534.11 : x
  2. Step 2: Convert to fraction form
    615.24/921.26 = 534.11/x
  3. Step 3: Cross multiply
    615.24x = 921.26 × 534.11
  4. Step 4: Simplify right side
    615.24x = 492,046.90
  5. Step 5: Solve for x
    x = 492,046.90/615.24
  6. Step 6: Final answer
    x = 799.76

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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.