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Finding the Fourth Proportional to 608.94, 908.31 and 512.07

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Solution

The fourth proportional to 608.94, 908.31 and 512.07 is: 763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.94 : 908.31 = 512.07 : x
  2. Step 2: Convert to fraction form
    608.94/908.31 = 512.07/x
  3. Step 3: Cross multiply
    608.94x = 908.31 × 512.07
  4. Step 4: Simplify right side
    608.94x = 465,118.30
  5. Step 5: Solve for x
    x = 465,118.30/608.94
  6. Step 6: Final answer
    x = 763.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.