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Finding the Fourth Proportional to 616.75, 925.25 and 342.25

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Solution

The fourth proportional to 616.75, 925.25 and 342.25 is: 513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 925.25 = 342.25 : x
  2. Step 2: Convert to fraction form
    616.75/925.25 = 342.25/x
  3. Step 3: Cross multiply
    616.75x = 925.25 × 342.25
  4. Step 4: Simplify right side
    616.75x = 316,662.79
  5. Step 5: Solve for x
    x = 316,662.79/616.75
  6. Step 6: Final answer
    x = 513.44

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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.