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Finding the Fourth Proportional to 618.74, 928.07 and 253.43

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Solution

The fourth proportional to 618.74, 928.07 and 253.43 is: 380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.74 : 928.07 = 253.43 : x
  2. Step 2: Convert to fraction form
    618.74/928.07 = 253.43/x
  3. Step 3: Cross multiply
    618.74x = 928.07 × 253.43
  4. Step 4: Simplify right side
    618.74x = 235,194.87
  5. Step 5: Solve for x
    x = 235,194.87/618.74
  6. Step 6: Final answer
    x = 380.12

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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.