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Finding the Fourth Proportional to 1,222.78, 1,687.44 and 663.25

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Solution

The fourth proportional to 1,222.78, 1,687.44 and 663.25 is: 915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.78 : 1,687.44 = 663.25 : x
  2. Step 2: Convert to fraction form
    1,222.78/1,687.44 = 663.25/x
  3. Step 3: Cross multiply
    1,222.78x = 1,687.44 × 663.25
  4. Step 4: Simplify right side
    1,222.78x = 1,119,191.26
  5. Step 5: Solve for x
    x = 1,119,191.26/1,222.78
  6. Step 6: Final answer
    x = 915.29

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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.