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Finding the Fourth Proportional to 571.82, 789.88 and 442.46

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Solution

The fourth proportional to 571.82, 789.88 and 442.46 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.82 : 789.88 = 442.46 : x
  2. Step 2: Convert to fraction form
    571.82/789.88 = 442.46/x
  3. Step 3: Cross multiply
    571.82x = 789.88 × 442.46
  4. Step 4: Simplify right side
    571.82x = 349,490.30
  5. Step 5: Solve for x
    x = 349,490.30/571.82
  6. Step 6: Final answer
    x = 611.19

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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.