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Finding the Fourth Proportional to 463.30, 635.75 and 421.52

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Solution

The fourth proportional to 463.30, 635.75 and 421.52 is: 578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.30 : 635.75 = 421.52 : x
  2. Step 2: Convert to fraction form
    463.30/635.75 = 421.52/x
  3. Step 3: Cross multiply
    463.30x = 635.75 × 421.52
  4. Step 4: Simplify right side
    463.30x = 267,980.82
  5. Step 5: Solve for x
    x = 267,980.82/463.30
  6. Step 6: Final answer
    x = 578.42

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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.