Home / 1,159.20-1,738.10-543.04

Finding the Fourth Proportional to 1,159.20, 1,738.10 and 543.04

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Solution

The fourth proportional to 1,159.20, 1,738.10 and 543.04 is: 814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.20 : 1,738.10 = 543.04 : x
  2. Step 2: Convert to fraction form
    1,159.20/1,738.10 = 543.04/x
  3. Step 3: Cross multiply
    1,159.20x = 1,738.10 × 543.04
  4. Step 4: Simplify right side
    1,159.20x = 943,857.82
  5. Step 5: Solve for x
    x = 943,857.82/1,159.20
  6. Step 6: Final answer
    x = 814.23

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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.