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Finding the Fourth Proportional to 819.36, 1,221.24 and 773.24

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Solution

The fourth proportional to 819.36, 1,221.24 and 773.24 is: 1,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.36 : 1,221.24 = 773.24 : x
  2. Step 2: Convert to fraction form
    819.36/1,221.24 = 773.24/x
  3. Step 3: Cross multiply
    819.36x = 1,221.24 × 773.24
  4. Step 4: Simplify right side
    819.36x = 944,305.51
  5. Step 5: Solve for x
    x = 944,305.51/819.36
  6. Step 6: Final answer
    x = 1,152.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.