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Finding the Fourth Proportional to 687.79, 1,031.57 and 277.22

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Solution

The fourth proportional to 687.79, 1,031.57 and 277.22 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.79 : 1,031.57 = 277.22 : x
  2. Step 2: Convert to fraction form
    687.79/1,031.57 = 277.22/x
  3. Step 3: Cross multiply
    687.79x = 1,031.57 × 277.22
  4. Step 4: Simplify right side
    687.79x = 285,974.07
  5. Step 5: Solve for x
    x = 285,974.07/687.79
  6. Step 6: Final answer
    x = 415.79

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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.