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Finding the Fourth Proportional to 1,294.64, 1,938.84 and 806.24

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Solution

The fourth proportional to 1,294.64, 1,938.84 and 806.24 is: 1,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.64 : 1,938.84 = 806.24 : x
  2. Step 2: Convert to fraction form
    1,294.64/1,938.84 = 806.24/x
  3. Step 3: Cross multiply
    1,294.64x = 1,938.84 × 806.24
  4. Step 4: Simplify right side
    1,294.64x = 1,563,170.36
  5. Step 5: Solve for x
    x = 1,563,170.36/1,294.64
  6. Step 6: Final answer
    x = 1,207.42

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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.