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Finding the Fourth Proportional to 730.81, 1,091.01 and 705.18

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Solution

The fourth proportional to 730.81, 1,091.01 and 705.18 is: 1,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,091.01 = 705.18 : x
  2. Step 2: Convert to fraction form
    730.81/1,091.01 = 705.18/x
  3. Step 3: Cross multiply
    730.81x = 1,091.01 × 705.18
  4. Step 4: Simplify right side
    730.81x = 769,358.43
  5. Step 5: Solve for x
    x = 769,358.43/730.81
  6. Step 6: Final answer
    x = 1,052.75

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Why These Related Problems?

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