Home / 1,158.43-1,738.68-542.49

Finding the Fourth Proportional to 1,158.43, 1,738.68 and 542.49

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Solution

The fourth proportional to 1,158.43, 1,738.68 and 542.49 is: 814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.43 : 1,738.68 = 542.49 : x
  2. Step 2: Convert to fraction form
    1,158.43/1,738.68 = 542.49/x
  3. Step 3: Cross multiply
    1,158.43x = 1,738.68 × 542.49
  4. Step 4: Simplify right side
    1,158.43x = 943,216.51
  5. Step 5: Solve for x
    x = 943,216.51/1,158.43
  6. Step 6: Final answer
    x = 814.22

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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.