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Finding the Fourth Proportional to 732.15, 1,096.38 and 670.68

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Solution

The fourth proportional to 732.15, 1,096.38 and 670.68 is: 1,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.15 : 1,096.38 = 670.68 : x
  2. Step 2: Convert to fraction form
    732.15/1,096.38 = 670.68/x
  3. Step 3: Cross multiply
    732.15x = 1,096.38 × 670.68
  4. Step 4: Simplify right side
    732.15x = 735,320.14
  5. Step 5: Solve for x
    x = 735,320.14/732.15
  6. Step 6: Final answer
    x = 1,004.33

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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.