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Finding the Fourth Proportional to 604.93, 906.97 and 385.72

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Solution

The fourth proportional to 604.93, 906.97 and 385.72 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.93 : 906.97 = 385.72 : x
  2. Step 2: Convert to fraction form
    604.93/906.97 = 385.72/x
  3. Step 3: Cross multiply
    604.93x = 906.97 × 385.72
  4. Step 4: Simplify right side
    604.93x = 349,836.47
  5. Step 5: Solve for x
    x = 349,836.47/604.93
  6. Step 6: Final answer
    x = 578.31

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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.