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Finding the Fourth Proportional to 604.70, 907.46 and 219.95

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Solution

The fourth proportional to 604.70, 907.46 and 219.95 is: 330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.70 : 907.46 = 219.95 : x
  2. Step 2: Convert to fraction form
    604.70/907.46 = 219.95/x
  3. Step 3: Cross multiply
    604.70x = 907.46 × 219.95
  4. Step 4: Simplify right side
    604.70x = 199,595.83
  5. Step 5: Solve for x
    x = 199,595.83/604.70
  6. Step 6: Final answer
    x = 330.07

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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.