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Finding the Fourth Proportional to 1,248.42, 1,721.49 and 854.82

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Solution

The fourth proportional to 1,248.42, 1,721.49 and 854.82 is: 1,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.42 : 1,721.49 = 854.82 : x
  2. Step 2: Convert to fraction form
    1,248.42/1,721.49 = 854.82/x
  3. Step 3: Cross multiply
    1,248.42x = 1,721.49 × 854.82
  4. Step 4: Simplify right side
    1,248.42x = 1,471,564.08
  5. Step 5: Solve for x
    x = 1,471,564.08/1,248.42
  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.