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Finding the Fourth Proportional to 638.81, 876.84 and 567.29

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Solution

The fourth proportional to 638.81, 876.84 and 567.29 is: 778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.81 : 876.84 = 567.29 : x
  2. Step 2: Convert to fraction form
    638.81/876.84 = 567.29/x
  3. Step 3: Cross multiply
    638.81x = 876.84 × 567.29
  4. Step 4: Simplify right side
    638.81x = 497,418.18
  5. Step 5: Solve for x
    x = 497,418.18/638.81
  6. Step 6: Final answer
    x = 778.67

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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.