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Finding the Fourth Proportional to 1,097.77, 1,647.17 and 578.02

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Solution

The fourth proportional to 1,097.77, 1,647.17 and 578.02 is: 867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.77 : 1,647.17 = 578.02 : x
  2. Step 2: Convert to fraction form
    1,097.77/1,647.17 = 578.02/x
  3. Step 3: Cross multiply
    1,097.77x = 1,647.17 × 578.02
  4. Step 4: Simplify right side
    1,097.77x = 952,092.59
  5. Step 5: Solve for x
    x = 952,092.59/1,097.77
  6. Step 6: Final answer
    x = 867.30

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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.