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Finding the Fourth Proportional to 607.73, 912.29 and 361.47

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Solution

The fourth proportional to 607.73, 912.29 and 361.47 is: 542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.73 : 912.29 = 361.47 : x
  2. Step 2: Convert to fraction form
    607.73/912.29 = 361.47/x
  3. Step 3: Cross multiply
    607.73x = 912.29 × 361.47
  4. Step 4: Simplify right side
    607.73x = 329,763.66
  5. Step 5: Solve for x
    x = 329,763.66/607.73
  6. Step 6: Final answer
    x = 542.61

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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.