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Finding the Fourth Proportional to 744.82, 1,125.67 and 732.04

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Solution

The fourth proportional to 744.82, 1,125.67 and 732.04 is: 1,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.82 : 1,125.67 = 732.04 : x
  2. Step 2: Convert to fraction form
    744.82/1,125.67 = 732.04/x
  3. Step 3: Cross multiply
    744.82x = 1,125.67 × 732.04
  4. Step 4: Simplify right side
    744.82x = 824,035.47
  5. Step 5: Solve for x
    x = 824,035.47/744.82
  6. Step 6: Final answer
    x = 1,106.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.