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Finding the Fourth Proportional to 687.96, 1,031.50 and 298.21

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Solution

The fourth proportional to 687.96, 1,031.50 and 298.21 is: 447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.96 : 1,031.50 = 298.21 : x
  2. Step 2: Convert to fraction form
    687.96/1,031.50 = 298.21/x
  3. Step 3: Cross multiply
    687.96x = 1,031.50 × 298.21
  4. Step 4: Simplify right side
    687.96x = 307,603.62
  5. Step 5: Solve for x
    x = 307,603.62/687.96
  6. Step 6: Final answer
    x = 447.12

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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.