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Finding the Fourth Proportional to 557.88, 764.28 and 537.11

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Solution

The fourth proportional to 557.88, 764.28 and 537.11 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.88 : 764.28 = 537.11 : x
  2. Step 2: Convert to fraction form
    557.88/764.28 = 537.11/x
  3. Step 3: Cross multiply
    557.88x = 764.28 × 537.11
  4. Step 4: Simplify right side
    557.88x = 410,501.48
  5. Step 5: Solve for x
    x = 410,501.48/557.88
  6. Step 6: Final answer
    x = 735.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.