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Finding the Fourth Proportional to 1,043.73, 1,437.06 and 886.03

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Solution

The fourth proportional to 1,043.73, 1,437.06 and 886.03 is: 1,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.73 : 1,437.06 = 886.03 : x
  2. Step 2: Convert to fraction form
    1,043.73/1,437.06 = 886.03/x
  3. Step 3: Cross multiply
    1,043.73x = 1,437.06 × 886.03
  4. Step 4: Simplify right side
    1,043.73x = 1,273,283.39
  5. Step 5: Solve for x
    x = 1,273,283.39/1,043.73
  6. Step 6: Final answer
    x = 1,219.94

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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.