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Finding the Fourth Proportional to 604.92, 907.07 and 385.43

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Solution

The fourth proportional to 604.92, 907.07 and 385.43 is: 577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 907.07 = 385.43 : x
  2. Step 2: Convert to fraction form
    604.92/907.07 = 385.43/x
  3. Step 3: Cross multiply
    604.92x = 907.07 × 385.43
  4. Step 4: Simplify right side
    604.92x = 349,605.53
  5. Step 5: Solve for x
    x = 349,605.53/604.92
  6. Step 6: Final answer
    x = 577.94

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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.