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Finding the Fourth Proportional to 1,294.79, 1,939.68 and 745.34

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Solution

The fourth proportional to 1,294.79, 1,939.68 and 745.34 is: 1,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.79 : 1,939.68 = 745.34 : x
  2. Step 2: Convert to fraction form
    1,294.79/1,939.68 = 745.34/x
  3. Step 3: Cross multiply
    1,294.79x = 1,939.68 × 745.34
  4. Step 4: Simplify right side
    1,294.79x = 1,445,711.39
  5. Step 5: Solve for x
    x = 1,445,711.39/1,294.79
  6. Step 6: Final answer
    x = 1,116.56

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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.