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Finding the Fourth Proportional to 901.85, 1,355.20 and 512.44

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Solution

The fourth proportional to 901.85, 1,355.20 and 512.44 is: 770.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.85 : 1,355.20 = 512.44 : x
  2. Step 2: Convert to fraction form
    901.85/1,355.20 = 512.44/x
  3. Step 3: Cross multiply
    901.85x = 1,355.20 × 512.44
  4. Step 4: Simplify right side
    901.85x = 694,458.69
  5. Step 5: Solve for x
    x = 694,458.69/901.85
  6. Step 6: Final answer
    x = 770.04

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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.