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Finding the Fourth Proportional to 2,225.30, 3,334.29 and 763.65

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Solution

The fourth proportional to 2,225.30, 3,334.29 and 763.65 is: 1,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.30 : 3,334.29 = 763.65 : x
  2. Step 2: Convert to fraction form
    2,225.30/3,334.29 = 763.65/x
  3. Step 3: Cross multiply
    2,225.30x = 3,334.29 × 763.65
  4. Step 4: Simplify right side
    2,225.30x = 2,546,230.56
  5. Step 5: Solve for x
    x = 2,546,230.56/2,225.30
  6. Step 6: Final answer
    x = 1,144.22

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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.