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Finding the Fourth Proportional to 1,160.78, 1,601.92 and 663.42

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Solution

The fourth proportional to 1,160.78, 1,601.92 and 663.42 is: 915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.78 : 1,601.92 = 663.42 : x
  2. Step 2: Convert to fraction form
    1,160.78/1,601.92 = 663.42/x
  3. Step 3: Cross multiply
    1,160.78x = 1,601.92 × 663.42
  4. Step 4: Simplify right side
    1,160.78x = 1,062,745.77
  5. Step 5: Solve for x
    x = 1,062,745.77/1,160.78
  6. Step 6: Final answer
    x = 915.54

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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.