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Finding the Fourth Proportional to 485.81, 729.01 and 337.69

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Solution

The fourth proportional to 485.81, 729.01 and 337.69 is: 506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.81 : 729.01 = 337.69 : x
  2. Step 2: Convert to fraction form
    485.81/729.01 = 337.69/x
  3. Step 3: Cross multiply
    485.81x = 729.01 × 337.69
  4. Step 4: Simplify right side
    485.81x = 246,179.39
  5. Step 5: Solve for x
    x = 246,179.39/485.81
  6. Step 6: Final answer
    x = 506.74

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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.