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Finding the Fourth Proportional to 622.29, 932.27 and 313.40

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Solution

The fourth proportional to 622.29, 932.27 and 313.40 is: 469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.29 : 932.27 = 313.40 : x
  2. Step 2: Convert to fraction form
    622.29/932.27 = 313.40/x
  3. Step 3: Cross multiply
    622.29x = 932.27 × 313.40
  4. Step 4: Simplify right side
    622.29x = 292,168.76
  5. Step 5: Solve for x
    x = 292,168.76/622.29
  6. Step 6: Final answer
    x = 469.51

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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.