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Finding the Fourth Proportional to 1,322.46, 1,825.11 and 990.25

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Solution

The fourth proportional to 1,322.46, 1,825.11 and 990.25 is: 1,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.46 : 1,825.11 = 990.25 : x
  2. Step 2: Convert to fraction form
    1,322.46/1,825.11 = 990.25/x
  3. Step 3: Cross multiply
    1,322.46x = 1,825.11 × 990.25
  4. Step 4: Simplify right side
    1,322.46x = 1,807,310.61
  5. Step 5: Solve for x
    x = 1,807,310.61/1,322.46
  6. Step 6: Final answer
    x = 1,366.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.