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Finding the Fourth Proportional to 771.71, 1,162.77 and 637.75

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Solution

The fourth proportional to 771.71, 1,162.77 and 637.75 is: 960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.71 : 1,162.77 = 637.75 : x
  2. Step 2: Convert to fraction form
    771.71/1,162.77 = 637.75/x
  3. Step 3: Cross multiply
    771.71x = 1,162.77 × 637.75
  4. Step 4: Simplify right side
    771.71x = 741,559.22
  5. Step 5: Solve for x
    x = 741,559.22/771.71
  6. Step 6: Final answer
    x = 960.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.