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Finding the Fourth Proportional to 604.74, 907.74 and 385.62

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Solution

The fourth proportional to 604.74, 907.74 and 385.62 is: 578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.74 : 907.74 = 385.62 : x
  2. Step 2: Convert to fraction form
    604.74/907.74 = 385.62/x
  3. Step 3: Cross multiply
    604.74x = 907.74 × 385.62
  4. Step 4: Simplify right side
    604.74x = 350,042.70
  5. Step 5: Solve for x
    x = 350,042.70/604.74
  6. Step 6: Final answer
    x = 578.83

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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.