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Finding the Fourth Proportional to 687.90, 1,032.33 and 255.42

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Solution

The fourth proportional to 687.90, 1,032.33 and 255.42 is: 383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.90 : 1,032.33 = 255.42 : x
  2. Step 2: Convert to fraction form
    687.90/1,032.33 = 255.42/x
  3. Step 3: Cross multiply
    687.90x = 1,032.33 × 255.42
  4. Step 4: Simplify right side
    687.90x = 263,677.73
  5. Step 5: Solve for x
    x = 263,677.73/687.90
  6. Step 6: Final answer
    x = 383.31

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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.