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Finding the Fourth Proportional to 1,377.41, 1,899.75 and 934.54

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Solution

The fourth proportional to 1,377.41, 1,899.75 and 934.54 is: 1,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.41 : 1,899.75 = 934.54 : x
  2. Step 2: Convert to fraction form
    1,377.41/1,899.75 = 934.54/x
  3. Step 3: Cross multiply
    1,377.41x = 1,899.75 × 934.54
  4. Step 4: Simplify right side
    1,377.41x = 1,775,391.12
  5. Step 5: Solve for x
    x = 1,775,391.12/1,377.41
  6. Step 6: Final answer
    x = 1,288.94

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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.