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Finding the Fourth Proportional to 811.62, 1,118.25 and 678.36

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Solution

The fourth proportional to 811.62, 1,118.25 and 678.36 is: 934.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,118.25 = 678.36 : x
  2. Step 2: Convert to fraction form
    811.62/1,118.25 = 678.36/x
  3. Step 3: Cross multiply
    811.62x = 1,118.25 × 678.36
  4. Step 4: Simplify right side
    811.62x = 758,576.07
  5. Step 5: Solve for x
    x = 758,576.07/811.62
  6. Step 6: Final answer
    x = 934.64

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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.