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Finding the Fourth Proportional to 2,225.60, 3,337.44 and 685.76

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Solution

The fourth proportional to 2,225.60, 3,337.44 and 685.76 is: 1,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.60 : 3,337.44 = 685.76 : x
  2. Step 2: Convert to fraction form
    2,225.60/3,337.44 = 685.76/x
  3. Step 3: Cross multiply
    2,225.60x = 3,337.44 × 685.76
  4. Step 4: Simplify right side
    2,225.60x = 2,288,682.85
  5. Step 5: Solve for x
    x = 2,288,682.85/2,225.60
  6. Step 6: Final answer
    x = 1,028.34

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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.