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Finding the Fourth Proportional to 1,294.29, 1,939.31 and 677.07

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Solution

The fourth proportional to 1,294.29, 1,939.31 and 677.07 is: 1,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.29 : 1,939.31 = 677.07 : x
  2. Step 2: Convert to fraction form
    1,294.29/1,939.31 = 677.07/x
  3. Step 3: Cross multiply
    1,294.29x = 1,939.31 × 677.07
  4. Step 4: Simplify right side
    1,294.29x = 1,313,045.24
  5. Step 5: Solve for x
    x = 1,313,045.24/1,294.29
  6. Step 6: Final answer
    x = 1,014.49

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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.