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Finding the Fourth Proportional to 682.15, 1,021.91 and 559.42

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Solution

The fourth proportional to 682.15, 1,021.91 and 559.42 is: 838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.15 : 1,021.91 = 559.42 : x
  2. Step 2: Convert to fraction form
    682.15/1,021.91 = 559.42/x
  3. Step 3: Cross multiply
    682.15x = 1,021.91 × 559.42
  4. Step 4: Simplify right side
    682.15x = 571,671.78
  5. Step 5: Solve for x
    x = 571,671.78/682.15
  6. Step 6: Final answer
    x = 838.05

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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.