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Finding the Fourth Proportional to 687.87, 1,031.31 and 322.46

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Solution

The fourth proportional to 687.87, 1,031.31 and 322.46 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.87 : 1,031.31 = 322.46 : x
  2. Step 2: Convert to fraction form
    687.87/1,031.31 = 322.46/x
  3. Step 3: Cross multiply
    687.87x = 1,031.31 × 322.46
  4. Step 4: Simplify right side
    687.87x = 332,556.22
  5. Step 5: Solve for x
    x = 332,556.22/687.87
  6. Step 6: Final answer
    x = 483.46

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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.