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Finding the Fourth Proportional to 1,147.14, 1,583.01 and 649.71

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Solution

The fourth proportional to 1,147.14, 1,583.01 and 649.71 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.14 : 1,583.01 = 649.71 : x
  2. Step 2: Convert to fraction form
    1,147.14/1,583.01 = 649.71/x
  3. Step 3: Cross multiply
    1,147.14x = 1,583.01 × 649.71
  4. Step 4: Simplify right side
    1,147.14x = 1,028,497.43
  5. Step 5: Solve for x
    x = 1,028,497.43/1,147.14
  6. Step 6: Final answer
    x = 896.58

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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.