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Finding the Fourth Proportional to 606.71, 908.00 and 509.31

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Solution

The fourth proportional to 606.71, 908.00 and 509.31 is: 762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.71 : 908.00 = 509.31 : x
  2. Step 2: Convert to fraction form
    606.71/908.00 = 509.31/x
  3. Step 3: Cross multiply
    606.71x = 908.00 × 509.31
  4. Step 4: Simplify right side
    606.71x = 462,450.93
  5. Step 5: Solve for x
    x = 462,450.93/606.71
  6. Step 6: Final answer
    x = 762.23

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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.