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Finding the Fourth Proportional to 1,097.71, 1,647.24 and 578.09

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Solution

The fourth proportional to 1,097.71, 1,647.24 and 578.09 is: 867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.71 : 1,647.24 = 578.09 : x
  2. Step 2: Convert to fraction form
    1,097.71/1,647.24 = 578.09/x
  3. Step 3: Cross multiply
    1,097.71x = 1,647.24 × 578.09
  4. Step 4: Simplify right side
    1,097.71x = 952,252.97
  5. Step 5: Solve for x
    x = 952,252.97/1,097.71
  6. Step 6: Final answer
    x = 867.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.