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Finding the Fourth Proportional to 486.30, 667.69 and 473.61

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Solution

The fourth proportional to 486.30, 667.69 and 473.61 is: 650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 667.69 = 473.61 : x
  2. Step 2: Convert to fraction form
    486.30/667.69 = 473.61/x
  3. Step 3: Cross multiply
    486.30x = 667.69 × 473.61
  4. Step 4: Simplify right side
    486.30x = 316,225.83
  5. Step 5: Solve for x
    x = 316,225.83/486.30
  6. Step 6: Final answer
    x = 650.28

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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.