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Finding the Fourth Proportional to 688.49, 1,033.38 and 380.69

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Solution

The fourth proportional to 688.49, 1,033.38 and 380.69 is: 571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.49 : 1,033.38 = 380.69 : x
  2. Step 2: Convert to fraction form
    688.49/1,033.38 = 380.69/x
  3. Step 3: Cross multiply
    688.49x = 1,033.38 × 380.69
  4. Step 4: Simplify right side
    688.49x = 393,392.27
  5. Step 5: Solve for x
    x = 393,392.27/688.49
  6. Step 6: Final answer
    x = 571.39

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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.