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Finding the Fourth Proportional to 616.91, 855.36 and 584.10

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Solution

The fourth proportional to 616.91, 855.36 and 584.10 is: 809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.91 : 855.36 = 584.10 : x
  2. Step 2: Convert to fraction form
    616.91/855.36 = 584.10/x
  3. Step 3: Cross multiply
    616.91x = 855.36 × 584.10
  4. Step 4: Simplify right side
    616.91x = 499,615.78
  5. Step 5: Solve for x
    x = 499,615.78/616.91
  6. Step 6: Final answer
    x = 809.87

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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.