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Finding the Fourth Proportional to 688.80, 1,033.20 and 472.44

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Solution

The fourth proportional to 688.80, 1,033.20 and 472.44 is: 708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.80 : 1,033.20 = 472.44 : x
  2. Step 2: Convert to fraction form
    688.80/1,033.20 = 472.44/x
  3. Step 3: Cross multiply
    688.80x = 1,033.20 × 472.44
  4. Step 4: Simplify right side
    688.80x = 488,125.01
  5. Step 5: Solve for x
    x = 488,125.01/688.80
  6. Step 6: Final answer
    x = 708.66

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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.