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Finding the Fourth Proportional to 633.06, 874.13 and 467.55

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Solution

The fourth proportional to 633.06, 874.13 and 467.55 is: 645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.06 : 874.13 = 467.55 : x
  2. Step 2: Convert to fraction form
    633.06/874.13 = 467.55/x
  3. Step 3: Cross multiply
    633.06x = 874.13 × 467.55
  4. Step 4: Simplify right side
    633.06x = 408,697.14
  5. Step 5: Solve for x
    x = 408,697.14/633.06
  6. Step 6: Final answer
    x = 645.59

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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.