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Finding the Fourth Proportional to 819.99, 1,131.75 and 521.04

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Solution

The fourth proportional to 819.99, 1,131.75 and 521.04 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.99 : 1,131.75 = 521.04 : x
  2. Step 2: Convert to fraction form
    819.99/1,131.75 = 521.04/x
  3. Step 3: Cross multiply
    819.99x = 1,131.75 × 521.04
  4. Step 4: Simplify right side
    819.99x = 589,687.02
  5. Step 5: Solve for x
    x = 589,687.02/819.99
  6. Step 6: Final answer
    x = 719.14

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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.