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Finding the Fourth Proportional to 800.44, 1,195.15 and 678.76

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Solution

The fourth proportional to 800.44, 1,195.15 and 678.76 is: 1,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.44 : 1,195.15 = 678.76 : x
  2. Step 2: Convert to fraction form
    800.44/1,195.15 = 678.76/x
  3. Step 3: Cross multiply
    800.44x = 1,195.15 × 678.76
  4. Step 4: Simplify right side
    800.44x = 811,220.01
  5. Step 5: Solve for x
    x = 811,220.01/800.44
  6. Step 6: Final answer
    x = 1,013.47

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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.