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Finding the Fourth Proportional to 777.31, 1,160.25 and 712.37

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Solution

The fourth proportional to 777.31, 1,160.25 and 712.37 is: 1,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.31 : 1,160.25 = 712.37 : x
  2. Step 2: Convert to fraction form
    777.31/1,160.25 = 712.37/x
  3. Step 3: Cross multiply
    777.31x = 1,160.25 × 712.37
  4. Step 4: Simplify right side
    777.31x = 826,527.29
  5. Step 5: Solve for x
    x = 826,527.29/777.31
  6. Step 6: Final answer
    x = 1,063.32

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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.