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Finding the Fourth Proportional to 731.03, 1,091.33 and 705.40

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Solution

The fourth proportional to 731.03, 1,091.33 and 705.40 is: 1,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.03 : 1,091.33 = 705.40 : x
  2. Step 2: Convert to fraction form
    731.03/1,091.33 = 705.40/x
  3. Step 3: Cross multiply
    731.03x = 1,091.33 × 705.40
  4. Step 4: Simplify right side
    731.03x = 769,824.54
  5. Step 5: Solve for x
    x = 769,824.54/731.03
  6. Step 6: Final answer
    x = 1,053.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.