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Finding the Fourth Proportional to 475.79, 714.49 and 311.54

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Solution

The fourth proportional to 475.79, 714.49 and 311.54 is: 467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.79 : 714.49 = 311.54 : x
  2. Step 2: Convert to fraction form
    475.79/714.49 = 311.54/x
  3. Step 3: Cross multiply
    475.79x = 714.49 × 311.54
  4. Step 4: Simplify right side
    475.79x = 222,592.21
  5. Step 5: Solve for x
    x = 222,592.21/475.79
  6. Step 6: Final answer
    x = 467.84

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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.