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Finding the Fourth Proportional to 604.87, 907.38 and 193.86

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Solution

The fourth proportional to 604.87, 907.38 and 193.86 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.87 : 907.38 = 193.86 : x
  2. Step 2: Convert to fraction form
    604.87/907.38 = 193.86/x
  3. Step 3: Cross multiply
    604.87x = 907.38 × 193.86
  4. Step 4: Simplify right side
    604.87x = 175,904.69
  5. Step 5: Solve for x
    x = 175,904.69/604.87
  6. Step 6: Final answer
    x = 290.82

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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.