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Finding the Fourth Proportional to 688.16, 1,031.52 and 255.12

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Solution

The fourth proportional to 688.16, 1,031.52 and 255.12 is: 382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.16 : 1,031.52 = 255.12 : x
  2. Step 2: Convert to fraction form
    688.16/1,031.52 = 255.12/x
  3. Step 3: Cross multiply
    688.16x = 1,031.52 × 255.12
  4. Step 4: Simplify right side
    688.16x = 263,161.38
  5. Step 5: Solve for x
    x = 263,161.38/688.16
  6. Step 6: Final answer
    x = 382.41

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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.