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Finding the Fourth Proportional to 616.48, 854.42 and 604.96

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Solution

The fourth proportional to 616.48, 854.42 and 604.96 is: 838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.48 : 854.42 = 604.96 : x
  2. Step 2: Convert to fraction form
    616.48/854.42 = 604.96/x
  3. Step 3: Cross multiply
    616.48x = 854.42 × 604.96
  4. Step 4: Simplify right side
    616.48x = 516,889.92
  5. Step 5: Solve for x
    x = 516,889.92/616.48
  6. Step 6: Final answer
    x = 838.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.