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Finding the Fourth Proportional to 540.78, 746.34 and 523.77

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Solution

The fourth proportional to 540.78, 746.34 and 523.77 is: 722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 746.34 = 523.77 : x
  2. Step 2: Convert to fraction form
    540.78/746.34 = 523.77/x
  3. Step 3: Cross multiply
    540.78x = 746.34 × 523.77
  4. Step 4: Simplify right side
    540.78x = 390,910.50
  5. Step 5: Solve for x
    x = 390,910.50/540.78
  6. Step 6: Final answer
    x = 722.86

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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.