Home / 1,158.98-1,738.20-542.10

Finding the Fourth Proportional to 1,158.98, 1,738.20 and 542.10

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Solution

The fourth proportional to 1,158.98, 1,738.20 and 542.10 is: 813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.98 : 1,738.20 = 542.10 : x
  2. Step 2: Convert to fraction form
    1,158.98/1,738.20 = 542.10/x
  3. Step 3: Cross multiply
    1,158.98x = 1,738.20 × 542.10
  4. Step 4: Simplify right side
    1,158.98x = 942,278.22
  5. Step 5: Solve for x
    x = 942,278.22/1,158.98
  6. Step 6: Final answer
    x = 813.02

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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.