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Finding the Fourth Proportional to 777.57, 1,163.37 and 546.87

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Solution

The fourth proportional to 777.57, 1,163.37 and 546.87 is: 818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.57 : 1,163.37 = 546.87 : x
  2. Step 2: Convert to fraction form
    777.57/1,163.37 = 546.87/x
  3. Step 3: Cross multiply
    777.57x = 1,163.37 × 546.87
  4. Step 4: Simplify right side
    777.57x = 636,212.15
  5. Step 5: Solve for x
    x = 636,212.15/777.57
  6. Step 6: Final answer
    x = 818.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.