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Finding the Fourth Proportional to 701.41, 1,043.83 and 678.05

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Solution

The fourth proportional to 701.41, 1,043.83 and 678.05 is: 1,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.41 : 1,043.83 = 678.05 : x
  2. Step 2: Convert to fraction form
    701.41/1,043.83 = 678.05/x
  3. Step 3: Cross multiply
    701.41x = 1,043.83 × 678.05
  4. Step 4: Simplify right side
    701.41x = 707,772.44
  5. Step 5: Solve for x
    x = 707,772.44/701.41
  6. Step 6: Final answer
    x = 1,009.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.