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Finding the Fourth Proportional to 633.12, 874.20 and 477.60

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Solution

The fourth proportional to 633.12, 874.20 and 477.60 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.12 : 874.20 = 477.60 : x
  2. Step 2: Convert to fraction form
    633.12/874.20 = 477.60/x
  3. Step 3: Cross multiply
    633.12x = 874.20 × 477.60
  4. Step 4: Simplify right side
    633.12x = 417,517.92
  5. Step 5: Solve for x
    x = 417,517.92/633.12
  6. Step 6: Final answer
    x = 659.46

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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.