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Finding the Fourth Proportional to 1,267.31, 1,901.95 and 880.03

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Solution

The fourth proportional to 1,267.31, 1,901.95 and 880.03 is: 1,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.31 : 1,901.95 = 880.03 : x
  2. Step 2: Convert to fraction form
    1,267.31/1,901.95 = 880.03/x
  3. Step 3: Cross multiply
    1,267.31x = 1,901.95 × 880.03
  4. Step 4: Simplify right side
    1,267.31x = 1,673,773.24
  5. Step 5: Solve for x
    x = 1,673,773.24/1,267.31
  6. Step 6: Final answer
    x = 1,320.73

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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.