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Finding the Fourth Proportional to 622.58, 934.13 and 257.45

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Solution

The fourth proportional to 622.58, 934.13 and 257.45 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.58 : 934.13 = 257.45 : x
  2. Step 2: Convert to fraction form
    622.58/934.13 = 257.45/x
  3. Step 3: Cross multiply
    622.58x = 934.13 × 257.45
  4. Step 4: Simplify right side
    622.58x = 240,487.74
  5. Step 5: Solve for x
    x = 240,487.74/622.58
  6. Step 6: Final answer
    x = 386.28

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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.