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Finding the Fourth Proportional to 883.72, 1,224.67 and 866.44

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Solution

The fourth proportional to 883.72, 1,224.67 and 866.44 is: 1,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.72 : 1,224.67 = 866.44 : x
  2. Step 2: Convert to fraction form
    883.72/1,224.67 = 866.44/x
  3. Step 3: Cross multiply
    883.72x = 1,224.67 × 866.44
  4. Step 4: Simplify right side
    883.72x = 1,061,103.07
  5. Step 5: Solve for x
    x = 1,061,103.07/883.72
  6. Step 6: Final answer
    x = 1,200.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.