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Finding the Fourth Proportional to 901.89, 1,352.21 and 414.68

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Solution

The fourth proportional to 901.89, 1,352.21 and 414.68 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.89 : 1,352.21 = 414.68 : x
  2. Step 2: Convert to fraction form
    901.89/1,352.21 = 414.68/x
  3. Step 3: Cross multiply
    901.89x = 1,352.21 × 414.68
  4. Step 4: Simplify right side
    901.89x = 560,725.61
  5. Step 5: Solve for x
    x = 560,725.61/901.89
  6. Step 6: Final answer
    x = 621.72

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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.