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Finding the Fourth Proportional to 1,377.87, 1,901.66 and 854.07

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Solution

The fourth proportional to 1,377.87, 1,901.66 and 854.07 is: 1,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.87 : 1,901.66 = 854.07 : x
  2. Step 2: Convert to fraction form
    1,377.87/1,901.66 = 854.07/x
  3. Step 3: Cross multiply
    1,377.87x = 1,901.66 × 854.07
  4. Step 4: Simplify right side
    1,377.87x = 1,624,146.49
  5. Step 5: Solve for x
    x = 1,624,146.49/1,377.87
  6. Step 6: Final answer
    x = 1,178.74

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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.