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Finding the Fourth Proportional to 688.69, 1,033.17 and 380.38

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Solution

The fourth proportional to 688.69, 1,033.17 and 380.38 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.69 : 1,033.17 = 380.38 : x
  2. Step 2: Convert to fraction form
    688.69/1,033.17 = 380.38/x
  3. Step 3: Cross multiply
    688.69x = 1,033.17 × 380.38
  4. Step 4: Simplify right side
    688.69x = 392,997.20
  5. Step 5: Solve for x
    x = 392,997.20/688.69
  6. Step 6: Final answer
    x = 570.64

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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.