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Finding the Fourth Proportional to 769.70, 1,063.59 and 582.86

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Solution

The fourth proportional to 769.70, 1,063.59 and 582.86 is: 805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.70 : 1,063.59 = 582.86 : x
  2. Step 2: Convert to fraction form
    769.70/1,063.59 = 582.86/x
  3. Step 3: Cross multiply
    769.70x = 1,063.59 × 582.86
  4. Step 4: Simplify right side
    769.70x = 619,918.75
  5. Step 5: Solve for x
    x = 619,918.75/769.70
  6. Step 6: Final answer
    x = 805.41

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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.