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Finding the Fourth Proportional to 604.80, 906.50 and 296.56

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Solution

The fourth proportional to 604.80, 906.50 and 296.56 is: 444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.80 : 906.50 = 296.56 : x
  2. Step 2: Convert to fraction form
    604.80/906.50 = 296.56/x
  3. Step 3: Cross multiply
    604.80x = 906.50 × 296.56
  4. Step 4: Simplify right side
    604.80x = 268,831.64
  5. Step 5: Solve for x
    x = 268,831.64/604.80
  6. Step 6: Final answer
    x = 444.50

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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.