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Finding the Fourth Proportional to 1,162.90, 1,744.58 and 341.20

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Solution

The fourth proportional to 1,162.90, 1,744.58 and 341.20 is: 511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.90 : 1,744.58 = 341.20 : x
  2. Step 2: Convert to fraction form
    1,162.90/1,744.58 = 341.20/x
  3. Step 3: Cross multiply
    1,162.90x = 1,744.58 × 341.20
  4. Step 4: Simplify right side
    1,162.90x = 595,250.70
  5. Step 5: Solve for x
    x = 595,250.70/1,162.90
  6. Step 6: Final answer
    x = 511.87

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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.