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Finding the Fourth Proportional to 803.12, 1,107.17 and 678.27

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Solution

The fourth proportional to 803.12, 1,107.17 and 678.27 is: 935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,107.17 = 678.27 : x
  2. Step 2: Convert to fraction form
    803.12/1,107.17 = 678.27/x
  3. Step 3: Cross multiply
    803.12x = 1,107.17 × 678.27
  4. Step 4: Simplify right side
    803.12x = 750,963.50
  5. Step 5: Solve for x
    x = 750,963.50/803.12
  6. Step 6: Final answer
    x = 935.06

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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.