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Finding the Fourth Proportional to 706.80, 975.87 and 540.73

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Solution

The fourth proportional to 706.80, 975.87 and 540.73 is: 746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 975.87 = 540.73 : x
  2. Step 2: Convert to fraction form
    706.80/975.87 = 540.73/x
  3. Step 3: Cross multiply
    706.80x = 975.87 × 540.73
  4. Step 4: Simplify right side
    706.80x = 527,679.44
  5. Step 5: Solve for x
    x = 527,679.44/706.80
  6. Step 6: Final answer
    x = 746.57

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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.