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Finding the Fourth Proportional to 908.25, 1,253.31 and 509.94

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Solution

The fourth proportional to 908.25, 1,253.31 and 509.94 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.25 : 1,253.31 = 509.94 : x
  2. Step 2: Convert to fraction form
    908.25/1,253.31 = 509.94/x
  3. Step 3: Cross multiply
    908.25x = 1,253.31 × 509.94
  4. Step 4: Simplify right side
    908.25x = 639,112.90
  5. Step 5: Solve for x
    x = 639,112.90/908.25
  6. Step 6: Final answer
    x = 703.68

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Double scale
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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.