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Finding the Fourth Proportional to 678.79, 1,022.80 and 559.72

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Solution

The fourth proportional to 678.79, 1,022.80 and 559.72 is: 843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.79 : 1,022.80 = 559.72 : x
  2. Step 2: Convert to fraction form
    678.79/1,022.80 = 559.72/x
  3. Step 3: Cross multiply
    678.79x = 1,022.80 × 559.72
  4. Step 4: Simplify right side
    678.79x = 572,481.62
  5. Step 5: Solve for x
    x = 572,481.62/678.79
  6. Step 6: Final answer
    x = 843.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.