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Finding the Fourth Proportional to 554.98, 832.89 and 311.71

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Solution

The fourth proportional to 554.98, 832.89 and 311.71 is: 467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.98 : 832.89 = 311.71 : x
  2. Step 2: Convert to fraction form
    554.98/832.89 = 311.71/x
  3. Step 3: Cross multiply
    554.98x = 832.89 × 311.71
  4. Step 4: Simplify right side
    554.98x = 259,620.14
  5. Step 5: Solve for x
    x = 259,620.14/554.98
  6. Step 6: Final answer
    x = 467.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.