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Finding the Fourth Proportional to 475.07, 655.85 and 335.31

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Solution

The fourth proportional to 475.07, 655.85 and 335.31 is: 462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.07 : 655.85 = 335.31 : x
  2. Step 2: Convert to fraction form
    475.07/655.85 = 335.31/x
  3. Step 3: Cross multiply
    475.07x = 655.85 × 335.31
  4. Step 4: Simplify right side
    475.07x = 219,911.39
  5. Step 5: Solve for x
    x = 219,911.39/475.07
  6. Step 6: Final answer
    x = 462.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.