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Finding the Fourth Proportional to 618.65, 928.65 and 253.69

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Solution

The fourth proportional to 618.65, 928.65 and 253.69 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.65 : 928.65 = 253.69 : x
  2. Step 2: Convert to fraction form
    618.65/928.65 = 253.69/x
  3. Step 3: Cross multiply
    618.65x = 928.65 × 253.69
  4. Step 4: Simplify right side
    618.65x = 235,586.90
  5. Step 5: Solve for x
    x = 235,586.90/618.65
  6. Step 6: Final answer
    x = 380.81

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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.