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Finding the Fourth Proportional to 819.81, 1,131.43 and 465.74

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Solution

The fourth proportional to 819.81, 1,131.43 and 465.74 is: 642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.81 : 1,131.43 = 465.74 : x
  2. Step 2: Convert to fraction form
    819.81/1,131.43 = 465.74/x
  3. Step 3: Cross multiply
    819.81x = 1,131.43 × 465.74
  4. Step 4: Simplify right side
    819.81x = 526,952.21
  5. Step 5: Solve for x
    x = 526,952.21/819.81
  6. Step 6: Final answer
    x = 642.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.