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Finding the Fourth Proportional to 615.32, 922.19 and 537.92

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Solution

The fourth proportional to 615.32, 922.19 and 537.92 is: 806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.32 : 922.19 = 537.92 : x
  2. Step 2: Convert to fraction form
    615.32/922.19 = 537.92/x
  3. Step 3: Cross multiply
    615.32x = 922.19 × 537.92
  4. Step 4: Simplify right side
    615.32x = 496,057.14
  5. Step 5: Solve for x
    x = 496,057.14/615.32
  6. Step 6: Final answer
    x = 806.18

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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.