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Finding the Fourth Proportional to 771.27, 1,063.38 and 561.28

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Solution

The fourth proportional to 771.27, 1,063.38 and 561.28 is: 773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.27 : 1,063.38 = 561.28 : x
  2. Step 2: Convert to fraction form
    771.27/1,063.38 = 561.28/x
  3. Step 3: Cross multiply
    771.27x = 1,063.38 × 561.28
  4. Step 4: Simplify right side
    771.27x = 596,853.93
  5. Step 5: Solve for x
    x = 596,853.93/771.27
  6. Step 6: Final answer
    x = 773.86

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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.