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Finding the Fourth Proportional to 687.67, 1,031.11 and 322.11

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Solution

The fourth proportional to 687.67, 1,031.11 and 322.11 is: 482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.67 : 1,031.11 = 322.11 : x
  2. Step 2: Convert to fraction form
    687.67/1,031.11 = 322.11/x
  3. Step 3: Cross multiply
    687.67x = 1,031.11 × 322.11
  4. Step 4: Simplify right side
    687.67x = 332,130.04
  5. Step 5: Solve for x
    x = 332,130.04/687.67
  6. Step 6: Final answer
    x = 482.98

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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.