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Finding the Fourth Proportional to 2,232.80, 3,349.28 and 772.08

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Solution

The fourth proportional to 2,232.80, 3,349.28 and 772.08 is: 1,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.80 : 3,349.28 = 772.08 : x
  2. Step 2: Convert to fraction form
    2,232.80/3,349.28 = 772.08/x
  3. Step 3: Cross multiply
    2,232.80x = 3,349.28 × 772.08
  4. Step 4: Simplify right side
    2,232.80x = 2,585,912.10
  5. Step 5: Solve for x
    x = 2,585,912.10/2,232.80
  6. Step 6: Final answer
    x = 1,158.15

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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.