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Finding the Fourth Proportional to 687.57, 1,031.16 and 271.03

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Solution

The fourth proportional to 687.57, 1,031.16 and 271.03 is: 406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.57 : 1,031.16 = 271.03 : x
  2. Step 2: Convert to fraction form
    687.57/1,031.16 = 271.03/x
  3. Step 3: Cross multiply
    687.57x = 1,031.16 × 271.03
  4. Step 4: Simplify right side
    687.57x = 279,475.29
  5. Step 5: Solve for x
    x = 279,475.29/687.57
  6. Step 6: Final answer
    x = 406.47

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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.