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Finding the Fourth Proportional to 577.56, 797.67 and 541.38

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Solution

The fourth proportional to 577.56, 797.67 and 541.38 is: 747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 797.67 = 541.38 : x
  2. Step 2: Convert to fraction form
    577.56/797.67 = 541.38/x
  3. Step 3: Cross multiply
    577.56x = 797.67 × 541.38
  4. Step 4: Simplify right side
    577.56x = 431,842.58
  5. Step 5: Solve for x
    x = 431,842.58/577.56
  6. Step 6: Final answer
    x = 747.70

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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.