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Finding the Fourth Proportional to 622.34, 932.96 and 313.93

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Solution

The fourth proportional to 622.34, 932.96 and 313.93 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.34 : 932.96 = 313.93 : x
  2. Step 2: Convert to fraction form
    622.34/932.96 = 313.93/x
  3. Step 3: Cross multiply
    622.34x = 932.96 × 313.93
  4. Step 4: Simplify right side
    622.34x = 292,884.92
  5. Step 5: Solve for x
    x = 292,884.92/622.34
  6. Step 6: Final answer
    x = 470.62

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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.