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Finding the Fourth Proportional to 1,147.12, 1,583.55 and 884.68

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Solution

The fourth proportional to 1,147.12, 1,583.55 and 884.68 is: 1,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.12 : 1,583.55 = 884.68 : x
  2. Step 2: Convert to fraction form
    1,147.12/1,583.55 = 884.68/x
  3. Step 3: Cross multiply
    1,147.12x = 1,583.55 × 884.68
  4. Step 4: Simplify right side
    1,147.12x = 1,400,935.01
  5. Step 5: Solve for x
    x = 1,400,935.01/1,147.12
  6. Step 6: Final answer
    x = 1,221.26

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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.