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Finding the Fourth Proportional to 636.42, 877.76 and 426.53

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Solution

The fourth proportional to 636.42, 877.76 and 426.53 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.42 : 877.76 = 426.53 : x
  2. Step 2: Convert to fraction form
    636.42/877.76 = 426.53/x
  3. Step 3: Cross multiply
    636.42x = 877.76 × 426.53
  4. Step 4: Simplify right side
    636.42x = 374,392.04
  5. Step 5: Solve for x
    x = 374,392.04/636.42
  6. Step 6: Final answer
    x = 588.28

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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.