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Finding the Fourth Proportional to 633.88, 874.02 and 478.36

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Solution

The fourth proportional to 633.88, 874.02 and 478.36 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.88 : 874.02 = 478.36 : x
  2. Step 2: Convert to fraction form
    633.88/874.02 = 478.36/x
  3. Step 3: Cross multiply
    633.88x = 874.02 × 478.36
  4. Step 4: Simplify right side
    633.88x = 418,096.21
  5. Step 5: Solve for x
    x = 418,096.21/633.88
  6. Step 6: Final answer
    x = 659.58

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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.