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Finding the Fourth Proportional to 859.97, 1,283.73 and 736.04

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Solution

The fourth proportional to 859.97, 1,283.73 and 736.04 is: 1,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.97 : 1,283.73 = 736.04 : x
  2. Step 2: Convert to fraction form
    859.97/1,283.73 = 736.04/x
  3. Step 3: Cross multiply
    859.97x = 1,283.73 × 736.04
  4. Step 4: Simplify right side
    859.97x = 944,876.63
  5. Step 5: Solve for x
    x = 944,876.63/859.97
  6. Step 6: Final answer
    x = 1,098.73

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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.