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Finding the Fourth Proportional to 1,024.75, 1,414.16 and 559

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Solution

The fourth proportional to 1,024.75, 1,414.16 and 559 is: 771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.75 : 1,414.16 = 559 : x
  2. Step 2: Convert to fraction form
    1,024.75/1,414.16 = 559/x
  3. Step 3: Cross multiply
    1,024.75x = 1,414.16 × 559
  4. Step 4: Simplify right side
    1,024.75x = 790,515.44
  5. Step 5: Solve for x
    x = 790,515.44/1,024.75
  6. Step 6: Final answer
    x = 771.42

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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.