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Finding the Fourth Proportional to 622.66, 934.04 and 257.38

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Solution

The fourth proportional to 622.66, 934.04 and 257.38 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.66 : 934.04 = 257.38 : x
  2. Step 2: Convert to fraction form
    622.66/934.04 = 257.38/x
  3. Step 3: Cross multiply
    622.66x = 934.04 × 257.38
  4. Step 4: Simplify right side
    622.66x = 240,403.22
  5. Step 5: Solve for x
    x = 240,403.22/622.66
  6. Step 6: Final answer
    x = 386.09

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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.