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Finding the Fourth Proportional to 583.58, 871.82 and 417.73

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Solution

The fourth proportional to 583.58, 871.82 and 417.73 is: 624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.58 : 871.82 = 417.73 : x
  2. Step 2: Convert to fraction form
    583.58/871.82 = 417.73/x
  3. Step 3: Cross multiply
    583.58x = 871.82 × 417.73
  4. Step 4: Simplify right side
    583.58x = 364,185.37
  5. Step 5: Solve for x
    x = 364,185.37/583.58
  6. Step 6: Final answer
    x = 624.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.