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Finding the Fourth Proportional to 1,027.18, 1,538.73 and 478.60

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Solution

The fourth proportional to 1,027.18, 1,538.73 and 478.60 is: 716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.18 : 1,538.73 = 478.60 : x
  2. Step 2: Convert to fraction form
    1,027.18/1,538.73 = 478.60/x
  3. Step 3: Cross multiply
    1,027.18x = 1,538.73 × 478.60
  4. Step 4: Simplify right side
    1,027.18x = 736,436.18
  5. Step 5: Solve for x
    x = 736,436.18/1,027.18
  6. Step 6: Final answer
    x = 716.95

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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.