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Finding the Fourth Proportional to 475.66, 655.76 and 465.31

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Solution

The fourth proportional to 475.66, 655.76 and 465.31 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.66 : 655.76 = 465.31 : x
  2. Step 2: Convert to fraction form
    475.66/655.76 = 465.31/x
  3. Step 3: Cross multiply
    475.66x = 655.76 × 465.31
  4. Step 4: Simplify right side
    475.66x = 305,126.08
  5. Step 5: Solve for x
    x = 305,126.08/475.66
  6. Step 6: Final answer
    x = 641.49

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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.