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Finding the Fourth Proportional to 1,322.10, 1,824.50 and 732.64

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Solution

The fourth proportional to 1,322.10, 1,824.50 and 732.64 is: 1,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.10 : 1,824.50 = 732.64 : x
  2. Step 2: Convert to fraction form
    1,322.10/1,824.50 = 732.64/x
  3. Step 3: Cross multiply
    1,322.10x = 1,824.50 × 732.64
  4. Step 4: Simplify right side
    1,322.10x = 1,336,701.68
  5. Step 5: Solve for x
    x = 1,336,701.68/1,322.10
  6. Step 6: Final answer
    x = 1,011.04

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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.