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Finding the Fourth Proportional to 622.26, 933.57 and 257.13

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Solution

The fourth proportional to 622.26, 933.57 and 257.13 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 933.57 = 257.13 : x
  2. Step 2: Convert to fraction form
    622.26/933.57 = 257.13/x
  3. Step 3: Cross multiply
    622.26x = 933.57 × 257.13
  4. Step 4: Simplify right side
    622.26x = 240,048.85
  5. Step 5: Solve for x
    x = 240,048.85/622.26
  6. Step 6: Final answer
    x = 385.77

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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.