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Finding the Fourth Proportional to 622.93, 934.03 and 257.31

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Solution

The fourth proportional to 622.93, 934.03 and 257.31 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.93 : 934.03 = 257.31 : x
  2. Step 2: Convert to fraction form
    622.93/934.03 = 257.31/x
  3. Step 3: Cross multiply
    622.93x = 934.03 × 257.31
  4. Step 4: Simplify right side
    622.93x = 240,335.26
  5. Step 5: Solve for x
    x = 240,335.26/622.93
  6. Step 6: Final answer
    x = 385.81

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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.