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Finding the Fourth Proportional to 1,269.03, 1,901.17 and 747.49

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Solution

The fourth proportional to 1,269.03, 1,901.17 and 747.49 is: 1,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.03 : 1,901.17 = 747.49 : x
  2. Step 2: Convert to fraction form
    1,269.03/1,901.17 = 747.49/x
  3. Step 3: Cross multiply
    1,269.03x = 1,901.17 × 747.49
  4. Step 4: Simplify right side
    1,269.03x = 1,421,107.98
  5. Step 5: Solve for x
    x = 1,421,107.98/1,269.03
  6. Step 6: Final answer
    x = 1,119.84

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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.