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Finding the Fourth Proportional to 2,297.28, 3,445.41 and 653.46

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Solution

The fourth proportional to 2,297.28, 3,445.41 and 653.46 is: 980.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.28 : 3,445.41 = 653.46 : x
  2. Step 2: Convert to fraction form
    2,297.28/3,445.41 = 653.46/x
  3. Step 3: Cross multiply
    2,297.28x = 3,445.41 × 653.46
  4. Step 4: Simplify right side
    2,297.28x = 2,251,437.62
  5. Step 5: Solve for x
    x = 2,251,437.62/2,297.28
  6. Step 6: Final answer
    x = 980.04

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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.