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Finding the Fourth Proportional to 843.74, 1,165.49 and 678.58

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Solution

The fourth proportional to 843.74, 1,165.49 and 678.58 is: 937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.74 : 1,165.49 = 678.58 : x
  2. Step 2: Convert to fraction form
    843.74/1,165.49 = 678.58/x
  3. Step 3: Cross multiply
    843.74x = 1,165.49 × 678.58
  4. Step 4: Simplify right side
    843.74x = 790,874.44
  5. Step 5: Solve for x
    x = 790,874.44/843.74
  6. Step 6: Final answer
    x = 937.34

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1.5x scale

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.