Home / 2,230.50-3,345.28-769.76

Finding the Fourth Proportional to 2,230.50, 3,345.28 and 769.76

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Solution

The fourth proportional to 2,230.50, 3,345.28 and 769.76 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.50 : 3,345.28 = 769.76 : x
  2. Step 2: Convert to fraction form
    2,230.50/3,345.28 = 769.76/x
  3. Step 3: Cross multiply
    2,230.50x = 3,345.28 × 769.76
  4. Step 4: Simplify right side
    2,230.50x = 2,575,062.73
  5. Step 5: Solve for x
    x = 2,575,062.73/2,230.50
  6. Step 6: Final answer
    x = 1,154.48

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1.5x scale

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.