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Finding the Fourth Proportional to 2,388.32, 3,581.92 and 656.80

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Solution

The fourth proportional to 2,388.32, 3,581.92 and 656.80 is: 985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.32 : 3,581.92 = 656.80 : x
  2. Step 2: Convert to fraction form
    2,388.32/3,581.92 = 656.80/x
  3. Step 3: Cross multiply
    2,388.32x = 3,581.92 × 656.80
  4. Step 4: Simplify right side
    2,388.32x = 2,352,605.06
  5. Step 5: Solve for x
    x = 2,352,605.06/2,388.32
  6. Step 6: Final answer
    x = 985.05

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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.