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Finding the Fourth Proportional to 604.86, 906.28 and 582.09

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Solution

The fourth proportional to 604.86, 906.28 and 582.09 is: 872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 906.28 = 582.09 : x
  2. Step 2: Convert to fraction form
    604.86/906.28 = 582.09/x
  3. Step 3: Cross multiply
    604.86x = 906.28 × 582.09
  4. Step 4: Simplify right side
    604.86x = 527,531.67
  5. Step 5: Solve for x
    x = 527,531.67/604.86
  6. Step 6: Final answer
    x = 872.16

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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.