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Finding the Fourth Proportional to 485.59, 669.86 and 337.97

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Solution

The fourth proportional to 485.59, 669.86 and 337.97 is: 466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.59 : 669.86 = 337.97 : x
  2. Step 2: Convert to fraction form
    485.59/669.86 = 337.97/x
  3. Step 3: Cross multiply
    485.59x = 669.86 × 337.97
  4. Step 4: Simplify right side
    485.59x = 226,390.89
  5. Step 5: Solve for x
    x = 226,390.89/485.59
  6. Step 6: Final answer
    x = 466.22

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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.