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Finding the Fourth Proportional to 633.96, 876.42 and 478.44

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Solution

The fourth proportional to 633.96, 876.42 and 478.44 is: 661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.96 : 876.42 = 478.44 : x
  2. Step 2: Convert to fraction form
    633.96/876.42 = 478.44/x
  3. Step 3: Cross multiply
    633.96x = 876.42 × 478.44
  4. Step 4: Simplify right side
    633.96x = 419,314.38
  5. Step 5: Solve for x
    x = 419,314.38/633.96
  6. Step 6: Final answer
    x = 661.42

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1.5x scale

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.