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Finding the Fourth Proportional to 1,468.40, 2,203.52 and 819.60

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Solution

The fourth proportional to 1,468.40, 2,203.52 and 819.60 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.40 : 2,203.52 = 819.60 : x
  2. Step 2: Convert to fraction form
    1,468.40/2,203.52 = 819.60/x
  3. Step 3: Cross multiply
    1,468.40x = 2,203.52 × 819.60
  4. Step 4: Simplify right side
    1,468.40x = 1,806,004.99
  5. Step 5: Solve for x
    x = 1,806,004.99/1,468.40
  6. Step 6: Final answer
    x = 1,229.91

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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.