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Finding the Fourth Proportional to 601.25, 830.13 and 388.97

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Solution

The fourth proportional to 601.25, 830.13 and 388.97 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.25 : 830.13 = 388.97 : x
  2. Step 2: Convert to fraction form
    601.25/830.13 = 388.97/x
  3. Step 3: Cross multiply
    601.25x = 830.13 × 388.97
  4. Step 4: Simplify right side
    601.25x = 322,891.52
  5. Step 5: Solve for x
    x = 322,891.52/601.25
  6. Step 6: Final answer
    x = 537.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.