Home / 1,159.24-1,738.86-542.76

Finding the Fourth Proportional to 1,159.24, 1,738.86 and 542.76

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Solution

The fourth proportional to 1,159.24, 1,738.86 and 542.76 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.24 : 1,738.86 = 542.76 : x
  2. Step 2: Convert to fraction form
    1,159.24/1,738.86 = 542.76/x
  3. Step 3: Cross multiply
    1,159.24x = 1,738.86 × 542.76
  4. Step 4: Simplify right side
    1,159.24x = 943,783.65
  5. Step 5: Solve for x
    x = 943,783.65/1,159.24
  6. Step 6: Final answer
    x = 814.14

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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.