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Finding the Fourth Proportional to 475.57, 655.81 and 309.43

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Solution

The fourth proportional to 475.57, 655.81 and 309.43 is: 426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.57 : 655.81 = 309.43 : x
  2. Step 2: Convert to fraction form
    475.57/655.81 = 309.43/x
  3. Step 3: Cross multiply
    475.57x = 655.81 × 309.43
  4. Step 4: Simplify right side
    475.57x = 202,927.29
  5. Step 5: Solve for x
    x = 202,927.29/475.57
  6. Step 6: Final answer
    x = 426.70

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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.