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Finding the Fourth Proportional to 1,147.91, 1,583.07 and 898.83

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Solution

The fourth proportional to 1,147.91, 1,583.07 and 898.83 is: 1,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.91 : 1,583.07 = 898.83 : x
  2. Step 2: Convert to fraction form
    1,147.91/1,583.07 = 898.83/x
  3. Step 3: Cross multiply
    1,147.91x = 1,583.07 × 898.83
  4. Step 4: Simplify right side
    1,147.91x = 1,422,910.81
  5. Step 5: Solve for x
    x = 1,422,910.81/1,147.91
  6. Step 6: Final answer
    x = 1,239.57

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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.