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Finding the Fourth Proportional to 606.65, 908.66 and 475.77

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Solution

The fourth proportional to 606.65, 908.66 and 475.77 is: 712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.65 : 908.66 = 475.77 : x
  2. Step 2: Convert to fraction form
    606.65/908.66 = 475.77/x
  3. Step 3: Cross multiply
    606.65x = 908.66 × 475.77
  4. Step 4: Simplify right side
    606.65x = 432,313.17
  5. Step 5: Solve for x
    x = 432,313.17/606.65
  6. Step 6: Final answer
    x = 712.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.