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Finding the Fourth Proportional to 771.62, 1,063.98 and 491.54

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Solution

The fourth proportional to 771.62, 1,063.98 and 491.54 is: 677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.62 : 1,063.98 = 491.54 : x
  2. Step 2: Convert to fraction form
    771.62/1,063.98 = 491.54/x
  3. Step 3: Cross multiply
    771.62x = 1,063.98 × 491.54
  4. Step 4: Simplify right side
    771.62x = 522,983.41
  5. Step 5: Solve for x
    x = 522,983.41/771.62
  6. Step 6: Final answer
    x = 677.78

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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.