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Finding the Fourth Proportional to 604.74, 907.17 and 193.78

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Solution

The fourth proportional to 604.74, 907.17 and 193.78 is: 290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.74 : 907.17 = 193.78 : x
  2. Step 2: Convert to fraction form
    604.74/907.17 = 193.78/x
  3. Step 3: Cross multiply
    604.74x = 907.17 × 193.78
  4. Step 4: Simplify right side
    604.74x = 175,791.40
  5. Step 5: Solve for x
    x = 175,791.40/604.74
  6. Step 6: Final answer
    x = 290.69

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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.