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Finding the Fourth Proportional to 819.99, 1,133.07 and 623.16

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Solution

The fourth proportional to 819.99, 1,133.07 and 623.16 is: 861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.99 : 1,133.07 = 623.16 : x
  2. Step 2: Convert to fraction form
    819.99/1,133.07 = 623.16/x
  3. Step 3: Cross multiply
    819.99x = 1,133.07 × 623.16
  4. Step 4: Simplify right side
    819.99x = 706,083.90
  5. Step 5: Solve for x
    x = 706,083.90/819.99
  6. Step 6: Final answer
    x = 861.09

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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.