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Finding the Fourth Proportional to 696.04, 1,044.32 and 422.32

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Solution

The fourth proportional to 696.04, 1,044.32 and 422.32 is: 633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.04 : 1,044.32 = 422.32 : x
  2. Step 2: Convert to fraction form
    696.04/1,044.32 = 422.32/x
  3. Step 3: Cross multiply
    696.04x = 1,044.32 × 422.32
  4. Step 4: Simplify right side
    696.04x = 441,037.22
  5. Step 5: Solve for x
    x = 441,037.22/696.04
  6. Step 6: Final answer
    x = 633.64

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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.