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Finding the Fourth Proportional to 485.80, 667.61 and 463.24

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Solution

The fourth proportional to 485.80, 667.61 and 463.24 is: 636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.80 : 667.61 = 463.24 : x
  2. Step 2: Convert to fraction form
    485.80/667.61 = 463.24/x
  3. Step 3: Cross multiply
    485.80x = 667.61 × 463.24
  4. Step 4: Simplify right side
    485.80x = 309,263.66
  5. Step 5: Solve for x
    x = 309,263.66/485.80
  6. Step 6: Final answer
    x = 636.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.