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Finding the Fourth Proportional to 825.12, 1,232.55 and 663.12

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Solution

The fourth proportional to 825.12, 1,232.55 and 663.12 is: 990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,232.55 = 663.12 : x
  2. Step 2: Convert to fraction form
    825.12/1,232.55 = 663.12/x
  3. Step 3: Cross multiply
    825.12x = 1,232.55 × 663.12
  4. Step 4: Simplify right side
    825.12x = 817,328.56
  5. Step 5: Solve for x
    x = 817,328.56/825.12
  6. Step 6: Final answer
    x = 990.56

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.