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Finding the Fourth Proportional to 811.94, 1,118.01 and 680.72

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Solution

The fourth proportional to 811.94, 1,118.01 and 680.72 is: 937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.94 : 1,118.01 = 680.72 : x
  2. Step 2: Convert to fraction form
    811.94/1,118.01 = 680.72/x
  3. Step 3: Cross multiply
    811.94x = 1,118.01 × 680.72
  4. Step 4: Simplify right side
    811.94x = 761,046.18
  5. Step 5: Solve for x
    x = 761,046.18/811.94
  6. Step 6: Final answer
    x = 937.32

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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.