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Finding the Fourth Proportional to 636.81, 874.10 and 565.29

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Solution

The fourth proportional to 636.81, 874.10 and 565.29 is: 775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.81 : 874.10 = 565.29 : x
  2. Step 2: Convert to fraction form
    636.81/874.10 = 565.29/x
  3. Step 3: Cross multiply
    636.81x = 874.10 × 565.29
  4. Step 4: Simplify right side
    636.81x = 494,119.99
  5. Step 5: Solve for x
    x = 494,119.99/636.81
  6. Step 6: Final answer
    x = 775.93

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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.