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Finding the Fourth Proportional to 484.46, 669.06 and 392.18

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Solution

The fourth proportional to 484.46, 669.06 and 392.18 is: 541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.46 : 669.06 = 392.18 : x
  2. Step 2: Convert to fraction form
    484.46/669.06 = 392.18/x
  3. Step 3: Cross multiply
    484.46x = 669.06 × 392.18
  4. Step 4: Simplify right side
    484.46x = 262,391.95
  5. Step 5: Solve for x
    x = 262,391.95/484.46
  6. Step 6: Final answer
    x = 541.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.