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Finding the Fourth Proportional to 730.80, 1,102.29 and 640.47

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Solution

The fourth proportional to 730.80, 1,102.29 and 640.47 is: 966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.80 : 1,102.29 = 640.47 : x
  2. Step 2: Convert to fraction form
    730.80/1,102.29 = 640.47/x
  3. Step 3: Cross multiply
    730.80x = 1,102.29 × 640.47
  4. Step 4: Simplify right side
    730.80x = 705,983.68
  5. Step 5: Solve for x
    x = 705,983.68/730.80
  6. Step 6: Final answer
    x = 966.04

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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.