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Finding the Fourth Proportional to 616.83, 847.67 and 588.27

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Solution

The fourth proportional to 616.83, 847.67 and 588.27 is: 808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.83 : 847.67 = 588.27 : x
  2. Step 2: Convert to fraction form
    616.83/847.67 = 588.27/x
  3. Step 3: Cross multiply
    616.83x = 847.67 × 588.27
  4. Step 4: Simplify right side
    616.83x = 498,658.83
  5. Step 5: Solve for x
    x = 498,658.83/616.83
  6. Step 6: Final answer
    x = 808.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.