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Finding the Fourth Proportional to 475.68, 658.99 and 464.34

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Solution

The fourth proportional to 475.68, 658.99 and 464.34 is: 643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.68 : 658.99 = 464.34 : x
  2. Step 2: Convert to fraction form
    475.68/658.99 = 464.34/x
  3. Step 3: Cross multiply
    475.68x = 658.99 × 464.34
  4. Step 4: Simplify right side
    475.68x = 305,995.42
  5. Step 5: Solve for x
    x = 305,995.42/475.68
  6. Step 6: Final answer
    x = 643.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.