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Finding the Fourth Proportional to 622.26, 933.30 and 313.92

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Solution

The fourth proportional to 622.26, 933.30 and 313.92 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 933.30 = 313.92 : x
  2. Step 2: Convert to fraction form
    622.26/933.30 = 313.92/x
  3. Step 3: Cross multiply
    622.26x = 933.30 × 313.92
  4. Step 4: Simplify right side
    622.26x = 292,981.54
  5. Step 5: Solve for x
    x = 292,981.54/622.26
  6. Step 6: Final answer
    x = 470.83

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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.