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Finding the Fourth Proportional to 819.51, 1,224.47 and 790.81

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Solution

The fourth proportional to 819.51, 1,224.47 and 790.81 is: 1,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.51 : 1,224.47 = 790.81 : x
  2. Step 2: Convert to fraction form
    819.51/1,224.47 = 790.81/x
  3. Step 3: Cross multiply
    819.51x = 1,224.47 × 790.81
  4. Step 4: Simplify right side
    819.51x = 968,322.04
  5. Step 5: Solve for x
    x = 968,322.04/819.51
  6. Step 6: Final answer
    x = 1,181.59

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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.