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Finding the Fourth Proportional to 814.98, 1,220.78 and 678.26

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Solution

The fourth proportional to 814.98, 1,220.78 and 678.26 is: 1,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.98 : 1,220.78 = 678.26 : x
  2. Step 2: Convert to fraction form
    814.98/1,220.78 = 678.26/x
  3. Step 3: Cross multiply
    814.98x = 1,220.78 × 678.26
  4. Step 4: Simplify right side
    814.98x = 828,006.24
  5. Step 5: Solve for x
    x = 828,006.24/814.98
  6. Step 6: Final answer
    x = 1,015.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.