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Finding the Fourth Proportional to 626.16, 861.83 and 576.96

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Solution

The fourth proportional to 626.16, 861.83 and 576.96 is: 794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.16 : 861.83 = 576.96 : x
  2. Step 2: Convert to fraction form
    626.16/861.83 = 576.96/x
  3. Step 3: Cross multiply
    626.16x = 861.83 × 576.96
  4. Step 4: Simplify right side
    626.16x = 497,238.55
  5. Step 5: Solve for x
    x = 497,238.55/626.16
  6. Step 6: Final answer
    x = 794.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.