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Finding the Fourth Proportional to 485.08, 724.90 and 361.96

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Solution

The fourth proportional to 485.08, 724.90 and 361.96 is: 540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.08 : 724.90 = 361.96 : x
  2. Step 2: Convert to fraction form
    485.08/724.90 = 361.96/x
  3. Step 3: Cross multiply
    485.08x = 724.90 × 361.96
  4. Step 4: Simplify right side
    485.08x = 262,384.80
  5. Step 5: Solve for x
    x = 262,384.80/485.08
  6. Step 6: Final answer
    x = 540.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.