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Finding the Fourth Proportional to 696.10, 1,044.42 and 372.10

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Solution

The fourth proportional to 696.10, 1,044.42 and 372.10 is: 558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.10 : 1,044.42 = 372.10 : x
  2. Step 2: Convert to fraction form
    696.10/1,044.42 = 372.10/x
  3. Step 3: Cross multiply
    696.10x = 1,044.42 × 372.10
  4. Step 4: Simplify right side
    696.10x = 388,628.68
  5. Step 5: Solve for x
    x = 388,628.68/696.10
  6. Step 6: Final answer
    x = 558.29

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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.