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Finding the Fourth Proportional to 557.82, 768.93 and 417.72

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Solution

The fourth proportional to 557.82, 768.93 and 417.72 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.82 : 768.93 = 417.72 : x
  2. Step 2: Convert to fraction form
    557.82/768.93 = 417.72/x
  3. Step 3: Cross multiply
    557.82x = 768.93 × 417.72
  4. Step 4: Simplify right side
    557.82x = 321,197.44
  5. Step 5: Solve for x
    x = 321,197.44/557.82
  6. Step 6: Final answer
    x = 575.81

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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.