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Finding the Fourth Proportional to 1,149.45, 1,583.33 and 887.01

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Solution

The fourth proportional to 1,149.45, 1,583.33 and 887.01 is: 1,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.45 : 1,583.33 = 887.01 : x
  2. Step 2: Convert to fraction form
    1,149.45/1,583.33 = 887.01/x
  3. Step 3: Cross multiply
    1,149.45x = 1,583.33 × 887.01
  4. Step 4: Simplify right side
    1,149.45x = 1,404,425.11
  5. Step 5: Solve for x
    x = 1,404,425.11/1,149.45
  6. Step 6: Final answer
    x = 1,221.82

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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.