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Finding the Fourth Proportional to 618.53, 928.05 and 310.32

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Solution

The fourth proportional to 618.53, 928.05 and 310.32 is: 465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.53 : 928.05 = 310.32 : x
  2. Step 2: Convert to fraction form
    618.53/928.05 = 310.32/x
  3. Step 3: Cross multiply
    618.53x = 928.05 × 310.32
  4. Step 4: Simplify right side
    618.53x = 287,992.48
  5. Step 5: Solve for x
    x = 287,992.48/618.53
  6. Step 6: Final answer
    x = 465.61

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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.