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Finding the Fourth Proportional to 1,027.72, 1,542.26 and 378.45

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Solution

The fourth proportional to 1,027.72, 1,542.26 and 378.45 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.72 : 1,542.26 = 378.45 : x
  2. Step 2: Convert to fraction form
    1,027.72/1,542.26 = 378.45/x
  3. Step 3: Cross multiply
    1,027.72x = 1,542.26 × 378.45
  4. Step 4: Simplify right side
    1,027.72x = 583,669.24
  5. Step 5: Solve for x
    x = 583,669.24/1,027.72
  6. Step 6: Final answer
    x = 567.93

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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.