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Finding the Fourth Proportional to 1,269.77, 1,904.65 and 447.85

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Solution

The fourth proportional to 1,269.77, 1,904.65 and 447.85 is: 671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.77 : 1,904.65 = 447.85 : x
  2. Step 2: Convert to fraction form
    1,269.77/1,904.65 = 447.85/x
  3. Step 3: Cross multiply
    1,269.77x = 1,904.65 × 447.85
  4. Step 4: Simplify right side
    1,269.77x = 852,987.98
  5. Step 5: Solve for x
    x = 852,987.98/1,269.77
  6. Step 6: Final answer
    x = 671.77

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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.