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Finding the Fourth Proportional to 811.36, 1,119.26 and 614.54

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Solution

The fourth proportional to 811.36, 1,119.26 and 614.54 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.36 : 1,119.26 = 614.54 : x
  2. Step 2: Convert to fraction form
    811.36/1,119.26 = 614.54/x
  3. Step 3: Cross multiply
    811.36x = 1,119.26 × 614.54
  4. Step 4: Simplify right side
    811.36x = 687,830.04
  5. Step 5: Solve for x
    x = 687,830.04/811.36
  6. Step 6: Final answer
    x = 847.75

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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.