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Finding the Fourth Proportional to 622.45, 933.53 and 257.34

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Solution

The fourth proportional to 622.45, 933.53 and 257.34 is: 385.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.45 : 933.53 = 257.34 : x
  2. Step 2: Convert to fraction form
    622.45/933.53 = 257.34/x
  3. Step 3: Cross multiply
    622.45x = 933.53 × 257.34
  4. Step 4: Simplify right side
    622.45x = 240,236.82
  5. Step 5: Solve for x
    x = 240,236.82/622.45
  6. Step 6: Final answer
    x = 385.95

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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.