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Finding the Fourth Proportional to 555.77, 762.49 and 541.39

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Solution

The fourth proportional to 555.77, 762.49 and 541.39 is: 742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.77 : 762.49 = 541.39 : x
  2. Step 2: Convert to fraction form
    555.77/762.49 = 541.39/x
  3. Step 3: Cross multiply
    555.77x = 762.49 × 541.39
  4. Step 4: Simplify right side
    555.77x = 412,801.20
  5. Step 5: Solve for x
    x = 412,801.20/555.77
  6. Step 6: Final answer
    x = 742.76

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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.