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Finding the Fourth Proportional to 618.65, 927.17 and 253.24

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Solution

The fourth proportional to 618.65, 927.17 and 253.24 is: 379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.65 : 927.17 = 253.24 : x
  2. Step 2: Convert to fraction form
    618.65/927.17 = 253.24/x
  3. Step 3: Cross multiply
    618.65x = 927.17 × 253.24
  4. Step 4: Simplify right side
    618.65x = 234,799.82
  5. Step 5: Solve for x
    x = 234,799.82/618.65
  6. Step 6: Final answer
    x = 379.53

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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.