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Finding the Fourth Proportional to 1,027.82, 1,542.66 and 480.32

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Solution

The fourth proportional to 1,027.82, 1,542.66 and 480.32 is: 720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,542.66 = 480.32 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,542.66 = 480.32/x
  3. Step 3: Cross multiply
    1,027.82x = 1,542.66 × 480.32
  4. Step 4: Simplify right side
    1,027.82x = 740,970.45
  5. Step 5: Solve for x
    x = 740,970.45/1,027.82
  6. Step 6: Final answer
    x = 720.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.