Home / 1,159.13-1,738.71-542.75

Finding the Fourth Proportional to 1,159.13, 1,738.71 and 542.75

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Solution

The fourth proportional to 1,159.13, 1,738.71 and 542.75 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.13 : 1,738.71 = 542.75 : x
  2. Step 2: Convert to fraction form
    1,159.13/1,738.71 = 542.75/x
  3. Step 3: Cross multiply
    1,159.13x = 1,738.71 × 542.75
  4. Step 4: Simplify right side
    1,159.13x = 943,684.85
  5. Step 5: Solve for x
    x = 943,684.85/1,159.13
  6. Step 6: Final answer
    x = 814.13

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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.