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Finding the Fourth Proportional to 771.08, 1,063.46 and 491.22

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Solution

The fourth proportional to 771.08, 1,063.46 and 491.22 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.08 : 1,063.46 = 491.22 : x
  2. Step 2: Convert to fraction form
    771.08/1,063.46 = 491.22/x
  3. Step 3: Cross multiply
    771.08x = 1,063.46 × 491.22
  4. Step 4: Simplify right side
    771.08x = 522,390.37
  5. Step 5: Solve for x
    x = 522,390.37/771.08
  6. Step 6: Final answer
    x = 677.48

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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.