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Finding the Fourth Proportional to 622.18, 932.82 and 313.82

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Solution

The fourth proportional to 622.18, 932.82 and 313.82 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.18 : 932.82 = 313.82 : x
  2. Step 2: Convert to fraction form
    622.18/932.82 = 313.82/x
  3. Step 3: Cross multiply
    622.18x = 932.82 × 313.82
  4. Step 4: Simplify right side
    622.18x = 292,737.57
  5. Step 5: Solve for x
    x = 292,737.57/622.18
  6. Step 6: Final answer
    x = 470.50

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1.5x scale

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.