Home / 1,158.10-1,736.44-542.30

Finding the Fourth Proportional to 1,158.10, 1,736.44 and 542.30

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Solution

The fourth proportional to 1,158.10, 1,736.44 and 542.30 is: 813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.10 : 1,736.44 = 542.30 : x
  2. Step 2: Convert to fraction form
    1,158.10/1,736.44 = 542.30/x
  3. Step 3: Cross multiply
    1,158.10x = 1,736.44 × 542.30
  4. Step 4: Simplify right side
    1,158.10x = 941,661.37
  5. Step 5: Solve for x
    x = 941,661.37/1,158.10
  6. Step 6: Final answer
    x = 813.11

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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.