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Finding the Fourth Proportional to 1,317.94, 1,977.62 and 855.61

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Solution

The fourth proportional to 1,317.94, 1,977.62 and 855.61 is: 1,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.94 : 1,977.62 = 855.61 : x
  2. Step 2: Convert to fraction form
    1,317.94/1,977.62 = 855.61/x
  3. Step 3: Cross multiply
    1,317.94x = 1,977.62 × 855.61
  4. Step 4: Simplify right side
    1,317.94x = 1,692,067.17
  5. Step 5: Solve for x
    x = 1,692,067.17/1,317.94
  6. Step 6: Final answer
    x = 1,283.87

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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.