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Finding the Fourth Proportional to 771.63, 1,066.26 and 562.44

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Solution

The fourth proportional to 771.63, 1,066.26 and 562.44 is: 777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.63 : 1,066.26 = 562.44 : x
  2. Step 2: Convert to fraction form
    771.63/1,066.26 = 562.44/x
  3. Step 3: Cross multiply
    771.63x = 1,066.26 × 562.44
  4. Step 4: Simplify right side
    771.63x = 599,713.38
  5. Step 5: Solve for x
    x = 599,713.38/771.63
  6. Step 6: Final answer
    x = 777.21

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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.