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Finding the Fourth Proportional to 462.85, 635.13 and 421.08

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Solution

The fourth proportional to 462.85, 635.13 and 421.08 is: 577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.85 : 635.13 = 421.08 : x
  2. Step 2: Convert to fraction form
    462.85/635.13 = 421.08/x
  3. Step 3: Cross multiply
    462.85x = 635.13 × 421.08
  4. Step 4: Simplify right side
    462.85x = 267,440.54
  5. Step 5: Solve for x
    x = 267,440.54/462.85
  6. Step 6: Final answer
    x = 577.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.