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Finding the Fourth Proportional to 604.92, 906.17 and 315.75

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Solution

The fourth proportional to 604.92, 906.17 and 315.75 is: 472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 906.17 = 315.75 : x
  2. Step 2: Convert to fraction form
    604.92/906.17 = 315.75/x
  3. Step 3: Cross multiply
    604.92x = 906.17 × 315.75
  4. Step 4: Simplify right side
    604.92x = 286,121.60
  5. Step 5: Solve for x
    x = 286,121.60/604.92
  6. Step 6: Final answer
    x = 472.99

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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.