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Finding the Fourth Proportional to 616.77, 855.11 and 596.52

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Solution

The fourth proportional to 616.77, 855.11 and 596.52 is: 827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 855.11 = 596.52 : x
  2. Step 2: Convert to fraction form
    616.77/855.11 = 596.52/x
  3. Step 3: Cross multiply
    616.77x = 855.11 × 596.52
  4. Step 4: Simplify right side
    616.77x = 510,091.71
  5. Step 5: Solve for x
    x = 510,091.71/616.77
  6. Step 6: Final answer
    x = 827.04

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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.