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Finding the Fourth Proportional to 732.21, 1,096.34 and 512.19

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Solution

The fourth proportional to 732.21, 1,096.34 and 512.19 is: 766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.21 : 1,096.34 = 512.19 : x
  2. Step 2: Convert to fraction form
    732.21/1,096.34 = 512.19/x
  3. Step 3: Cross multiply
    732.21x = 1,096.34 × 512.19
  4. Step 4: Simplify right side
    732.21x = 561,531.82
  5. Step 5: Solve for x
    x = 561,531.82/732.21
  6. Step 6: Final answer
    x = 766.90

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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.