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Finding the Fourth Proportional to 557.46, 773.06 and 539.64

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Solution

The fourth proportional to 557.46, 773.06 and 539.64 is: 748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 773.06 = 539.64 : x
  2. Step 2: Convert to fraction form
    557.46/773.06 = 539.64/x
  3. Step 3: Cross multiply
    557.46x = 773.06 × 539.64
  4. Step 4: Simplify right side
    557.46x = 417,171.40
  5. Step 5: Solve for x
    x = 417,171.40/557.46
  6. Step 6: Final answer
    x = 748.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.