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Finding the Fourth Proportional to 2,309.12, 3,463.92 and 770.24

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Solution

The fourth proportional to 2,309.12, 3,463.92 and 770.24 is: 1,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.12 : 3,463.92 = 770.24 : x
  2. Step 2: Convert to fraction form
    2,309.12/3,463.92 = 770.24/x
  3. Step 3: Cross multiply
    2,309.12x = 3,463.92 × 770.24
  4. Step 4: Simplify right side
    2,309.12x = 2,668,049.74
  5. Step 5: Solve for x
    x = 2,668,049.74/2,309.12
  6. Step 6: Final answer
    x = 1,155.44

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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.