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Finding the Fourth Proportional to 1,248.73, 1,873.13 and 427.00

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Solution

The fourth proportional to 1,248.73, 1,873.13 and 427.00 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.73 : 1,873.13 = 427.00 : x
  2. Step 2: Convert to fraction form
    1,248.73/1,873.13 = 427.00/x
  3. Step 3: Cross multiply
    1,248.73x = 1,873.13 × 427.00
  4. Step 4: Simplify right side
    1,248.73x = 799,817.94
  5. Step 5: Solve for x
    x = 799,817.94/1,248.73
  6. Step 6: Final answer
    x = 640.51

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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.