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Finding the Fourth Proportional to 696.57, 1,043.20 and 403.46

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Solution

The fourth proportional to 696.57, 1,043.20 and 403.46 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 1,043.20 = 403.46 : x
  2. Step 2: Convert to fraction form
    696.57/1,043.20 = 403.46/x
  3. Step 3: Cross multiply
    696.57x = 1,043.20 × 403.46
  4. Step 4: Simplify right side
    696.57x = 420,884.26
  5. Step 5: Solve for x
    x = 420,884.26/696.57
  6. Step 6: Final answer
    x = 604.22

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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.