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Finding the Fourth Proportional to 1,099.88, 1,647.24 and 578.48

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Solution

The fourth proportional to 1,099.88, 1,647.24 and 578.48 is: 866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.88 : 1,647.24 = 578.48 : x
  2. Step 2: Convert to fraction form
    1,099.88/1,647.24 = 578.48/x
  3. Step 3: Cross multiply
    1,099.88x = 1,647.24 × 578.48
  4. Step 4: Simplify right side
    1,099.88x = 952,895.40
  5. Step 5: Solve for x
    x = 952,895.40/1,099.88
  6. Step 6: Final answer
    x = 866.36

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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.