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Finding the Fourth Proportional to 811.44, 1,216.44 and 619.92

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Solution

The fourth proportional to 811.44, 1,216.44 and 619.92 is: 929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.44 : 1,216.44 = 619.92 : x
  2. Step 2: Convert to fraction form
    811.44/1,216.44 = 619.92/x
  3. Step 3: Cross multiply
    811.44x = 1,216.44 × 619.92
  4. Step 4: Simplify right side
    811.44x = 754,095.48
  5. Step 5: Solve for x
    x = 754,095.48/811.44
  6. Step 6: Final answer
    x = 929.33

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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.