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Finding the Fourth Proportional to 475.82, 659.17 and 464.48

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Solution

The fourth proportional to 475.82, 659.17 and 464.48 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.82 : 659.17 = 464.48 : x
  2. Step 2: Convert to fraction form
    475.82/659.17 = 464.48/x
  3. Step 3: Cross multiply
    475.82x = 659.17 × 464.48
  4. Step 4: Simplify right side
    475.82x = 306,165.66
  5. Step 5: Solve for x
    x = 306,165.66/475.82
  6. Step 6: Final answer
    x = 643.46

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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.