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Finding the Fourth Proportional to 811.54, 1,214.80 and 656.17

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Solution

The fourth proportional to 811.54, 1,214.80 and 656.17 is: 982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.54 : 1,214.80 = 656.17 : x
  2. Step 2: Convert to fraction form
    811.54/1,214.80 = 656.17/x
  3. Step 3: Cross multiply
    811.54x = 1,214.80 × 656.17
  4. Step 4: Simplify right side
    811.54x = 797,112.04
  5. Step 5: Solve for x
    x = 797,112.04/811.54
  6. Step 6: Final answer
    x = 982.22

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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.