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Finding the Fourth Proportional to 421.57, 631.24 and 347.66

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Solution

The fourth proportional to 421.57, 631.24 and 347.66 is: 520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.57 : 631.24 = 347.66 : x
  2. Step 2: Convert to fraction form
    421.57/631.24 = 347.66/x
  3. Step 3: Cross multiply
    421.57x = 631.24 × 347.66
  4. Step 4: Simplify right side
    421.57x = 219,456.90
  5. Step 5: Solve for x
    x = 219,456.90/421.57
  6. Step 6: Final answer
    x = 520.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.