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Finding the Fourth Proportional to 696.02, 1,043.01 and 387.41

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Solution

The fourth proportional to 696.02, 1,043.01 and 387.41 is: 580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.02 : 1,043.01 = 387.41 : x
  2. Step 2: Convert to fraction form
    696.02/1,043.01 = 387.41/x
  3. Step 3: Cross multiply
    696.02x = 1,043.01 × 387.41
  4. Step 4: Simplify right side
    696.02x = 404,067.29
  5. Step 5: Solve for x
    x = 404,067.29/696.02
  6. Step 6: Final answer
    x = 580.54

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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.