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Finding the Fourth Proportional to 616.23, 854.07 and 604.71

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Solution

The fourth proportional to 616.23, 854.07 and 604.71 is: 838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.23 : 854.07 = 604.71 : x
  2. Step 2: Convert to fraction form
    616.23/854.07 = 604.71/x
  3. Step 3: Cross multiply
    616.23x = 854.07 × 604.71
  4. Step 4: Simplify right side
    616.23x = 516,464.67
  5. Step 5: Solve for x
    x = 516,464.67/616.23
  6. Step 6: Final answer
    x = 838.10

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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.