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Finding the Fourth Proportional to 1,099.12, 1,648.72 and 578.80

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Solution

The fourth proportional to 1,099.12, 1,648.72 and 578.80 is: 868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.12 : 1,648.72 = 578.80 : x
  2. Step 2: Convert to fraction form
    1,099.12/1,648.72 = 578.80/x
  3. Step 3: Cross multiply
    1,099.12x = 1,648.72 × 578.80
  4. Step 4: Simplify right side
    1,099.12x = 954,279.14
  5. Step 5: Solve for x
    x = 954,279.14/1,099.12
  6. Step 6: Final answer
    x = 868.22

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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.