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Finding the Fourth Proportional to 616.52, 928.36 and 455.34

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Solution

The fourth proportional to 616.52, 928.36 and 455.34 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 928.36 = 455.34 : x
  2. Step 2: Convert to fraction form
    616.52/928.36 = 455.34/x
  3. Step 3: Cross multiply
    616.52x = 928.36 × 455.34
  4. Step 4: Simplify right side
    616.52x = 422,719.44
  5. Step 5: Solve for x
    x = 422,719.44/616.52
  6. Step 6: Final answer
    x = 685.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.