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Finding the Fourth Proportional to 616.29, 920.37 and 548.25

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Solution

The fourth proportional to 616.29, 920.37 and 548.25 is: 818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.29 : 920.37 = 548.25 : x
  2. Step 2: Convert to fraction form
    616.29/920.37 = 548.25/x
  3. Step 3: Cross multiply
    616.29x = 920.37 × 548.25
  4. Step 4: Simplify right side
    616.29x = 504,592.85
  5. Step 5: Solve for x
    x = 504,592.85/616.29
  6. Step 6: Final answer
    x = 818.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.