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Finding the Fourth Proportional to 1,159.91, 1,738.65 and 721.16

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Solution

The fourth proportional to 1,159.91, 1,738.65 and 721.16 is: 1,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.91 : 1,738.65 = 721.16 : x
  2. Step 2: Convert to fraction form
    1,159.91/1,738.65 = 721.16/x
  3. Step 3: Cross multiply
    1,159.91x = 1,738.65 × 721.16
  4. Step 4: Simplify right side
    1,159.91x = 1,253,844.83
  5. Step 5: Solve for x
    x = 1,253,844.83/1,159.91
  6. Step 6: Final answer
    x = 1,080.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.