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Finding the Fourth Proportional to 819.66, 1,227.54 and 526.23

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Solution

The fourth proportional to 819.66, 1,227.54 and 526.23 is: 788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.66 : 1,227.54 = 526.23 : x
  2. Step 2: Convert to fraction form
    819.66/1,227.54 = 526.23/x
  3. Step 3: Cross multiply
    819.66x = 1,227.54 × 526.23
  4. Step 4: Simplify right side
    819.66x = 645,968.37
  5. Step 5: Solve for x
    x = 645,968.37/819.66
  6. Step 6: Final answer
    x = 788.09

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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.