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Finding the Fourth Proportional to 2,231.45, 3,346.92 and 565.57

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Solution

The fourth proportional to 2,231.45, 3,346.92 and 565.57 is: 848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.45 : 3,346.92 = 565.57 : x
  2. Step 2: Convert to fraction form
    2,231.45/3,346.92 = 565.57/x
  3. Step 3: Cross multiply
    2,231.45x = 3,346.92 × 565.57
  4. Step 4: Simplify right side
    2,231.45x = 1,892,902.90
  5. Step 5: Solve for x
    x = 1,892,902.90/2,231.45
  6. Step 6: Final answer
    x = 848.28

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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.