Home / 1,158.20-1,736.01-542.06

Finding the Fourth Proportional to 1,158.20, 1,736.01 and 542.06

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Solution

The fourth proportional to 1,158.20, 1,736.01 and 542.06 is: 812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.20 : 1,736.01 = 542.06 : x
  2. Step 2: Convert to fraction form
    1,158.20/1,736.01 = 542.06/x
  3. Step 3: Cross multiply
    1,158.20x = 1,736.01 × 542.06
  4. Step 4: Simplify right side
    1,158.20x = 941,021.58
  5. Step 5: Solve for x
    x = 941,021.58/1,158.20
  6. Step 6: Final answer
    x = 812.49

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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.