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Finding the Fourth Proportional to 771.31, 1,151.40 and 716.63

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Solution

The fourth proportional to 771.31, 1,151.40 and 716.63 is: 1,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.31 : 1,151.40 = 716.63 : x
  2. Step 2: Convert to fraction form
    771.31/1,151.40 = 716.63/x
  3. Step 3: Cross multiply
    771.31x = 1,151.40 × 716.63
  4. Step 4: Simplify right side
    771.31x = 825,127.78
  5. Step 5: Solve for x
    x = 825,127.78/771.31
  6. Step 6: Final answer
    x = 1,069.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.