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Finding the Fourth Proportional to 1,248.89, 1,874.95 and 817.97

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Solution

The fourth proportional to 1,248.89, 1,874.95 and 817.97 is: 1,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.89 : 1,874.95 = 817.97 : x
  2. Step 2: Convert to fraction form
    1,248.89/1,874.95 = 817.97/x
  3. Step 3: Cross multiply
    1,248.89x = 1,874.95 × 817.97
  4. Step 4: Simplify right side
    1,248.89x = 1,533,641.43
  5. Step 5: Solve for x
    x = 1,533,641.43/1,248.89
  6. Step 6: Final answer
    x = 1,228.01

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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.