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Finding the Fourth Proportional to 988.27, 1,364.50 and 635.09

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Solution

The fourth proportional to 988.27, 1,364.50 and 635.09 is: 876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.27 : 1,364.50 = 635.09 : x
  2. Step 2: Convert to fraction form
    988.27/1,364.50 = 635.09/x
  3. Step 3: Cross multiply
    988.27x = 1,364.50 × 635.09
  4. Step 4: Simplify right side
    988.27x = 866,580.31
  5. Step 5: Solve for x
    x = 866,580.31/988.27
  6. Step 6: Final answer
    x = 876.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.