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Finding the Fourth Proportional to 1,027.92, 1,540.80 and 637.92

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Solution

The fourth proportional to 1,027.92, 1,540.80 and 637.92 is: 956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.92 : 1,540.80 = 637.92 : x
  2. Step 2: Convert to fraction form
    1,027.92/1,540.80 = 637.92/x
  3. Step 3: Cross multiply
    1,027.92x = 1,540.80 × 637.92
  4. Step 4: Simplify right side
    1,027.92x = 982,907.14
  5. Step 5: Solve for x
    x = 982,907.14/1,027.92
  6. Step 6: Final answer
    x = 956.21

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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.