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Finding the Fourth Proportional to 622.08, 933.39 and 257.13

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Solution

The fourth proportional to 622.08, 933.39 and 257.13 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.08 : 933.39 = 257.13 : x
  2. Step 2: Convert to fraction form
    622.08/933.39 = 257.13/x
  3. Step 3: Cross multiply
    622.08x = 933.39 × 257.13
  4. Step 4: Simplify right side
    622.08x = 240,002.57
  5. Step 5: Solve for x
    x = 240,002.57/622.08
  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.