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Finding the Fourth Proportional to 604.59, 906.77 and 296.33

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Solution

The fourth proportional to 604.59, 906.77 and 296.33 is: 444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.59 : 906.77 = 296.33 : x
  2. Step 2: Convert to fraction form
    604.59/906.77 = 296.33/x
  3. Step 3: Cross multiply
    604.59x = 906.77 × 296.33
  4. Step 4: Simplify right side
    604.59x = 268,706.18
  5. Step 5: Solve for x
    x = 268,706.18/604.59
  6. Step 6: Final answer
    x = 444.44

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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.