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Finding the Fourth Proportional to 432.10, 648.48 and 316.85

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Solution

The fourth proportional to 432.10, 648.48 and 316.85 is: 475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.10 : 648.48 = 316.85 : x
  2. Step 2: Convert to fraction form
    432.10/648.48 = 316.85/x
  3. Step 3: Cross multiply
    432.10x = 648.48 × 316.85
  4. Step 4: Simplify right side
    432.10x = 205,470.89
  5. Step 5: Solve for x
    x = 205,470.89/432.10
  6. Step 6: Final answer
    x = 475.52

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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.