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Finding the Fourth Proportional to 1,377.73, 1,901.10 and 788.23

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Solution

The fourth proportional to 1,377.73, 1,901.10 and 788.23 is: 1,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.73 : 1,901.10 = 788.23 : x
  2. Step 2: Convert to fraction form
    1,377.73/1,901.10 = 788.23/x
  3. Step 3: Cross multiply
    1,377.73x = 1,901.10 × 788.23
  4. Step 4: Simplify right side
    1,377.73x = 1,498,504.05
  5. Step 5: Solve for x
    x = 1,498,504.05/1,377.73
  6. Step 6: Final answer
    x = 1,087.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.