Home / 1,162.12-1,743.20-512.72

Finding the Fourth Proportional to 1,162.12, 1,743.20 and 512.72

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Solution

The fourth proportional to 1,162.12, 1,743.20 and 512.72 is: 769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.12 : 1,743.20 = 512.72 : x
  2. Step 2: Convert to fraction form
    1,162.12/1,743.20 = 512.72/x
  3. Step 3: Cross multiply
    1,162.12x = 1,743.20 × 512.72
  4. Step 4: Simplify right side
    1,162.12x = 893,773.50
  5. Step 5: Solve for x
    x = 893,773.50/1,162.12
  6. Step 6: Final answer
    x = 769.09

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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.