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Finding the Fourth Proportional to 604.94, 907.40 and 422.69

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Solution

The fourth proportional to 604.94, 907.40 and 422.69 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.94 : 907.40 = 422.69 : x
  2. Step 2: Convert to fraction form
    604.94/907.40 = 422.69/x
  3. Step 3: Cross multiply
    604.94x = 907.40 × 422.69
  4. Step 4: Simplify right side
    604.94x = 383,545.43
  5. Step 5: Solve for x
    x = 383,545.43/604.94
  6. Step 6: Final answer
    x = 634.03

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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.