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Finding the Fourth Proportional to 618.68, 928.56 and 345.04

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Solution

The fourth proportional to 618.68, 928.56 and 345.04 is: 517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.68 : 928.56 = 345.04 : x
  2. Step 2: Convert to fraction form
    618.68/928.56 = 345.04/x
  3. Step 3: Cross multiply
    618.68x = 928.56 × 345.04
  4. Step 4: Simplify right side
    618.68x = 320,390.34
  5. Step 5: Solve for x
    x = 320,390.34/618.68
  6. Step 6: Final answer
    x = 517.86

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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.