Home / 1,158.15-1,736.76-490.78

Finding the Fourth Proportional to 1,158.15, 1,736.76 and 490.78

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Solution

The fourth proportional to 1,158.15, 1,736.76 and 490.78 is: 735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.15 : 1,736.76 = 490.78 : x
  2. Step 2: Convert to fraction form
    1,158.15/1,736.76 = 490.78/x
  3. Step 3: Cross multiply
    1,158.15x = 1,736.76 × 490.78
  4. Step 4: Simplify right side
    1,158.15x = 852,371.08
  5. Step 5: Solve for x
    x = 852,371.08/1,158.15
  6. Step 6: Final answer
    x = 735.97

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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.