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Finding the Fourth Proportional to 666.80, 919.05 and 467.69

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Solution

The fourth proportional to 666.80, 919.05 and 467.69 is: 644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.80 : 919.05 = 467.69 : x
  2. Step 2: Convert to fraction form
    666.80/919.05 = 467.69/x
  3. Step 3: Cross multiply
    666.80x = 919.05 × 467.69
  4. Step 4: Simplify right side
    666.80x = 429,823.56
  5. Step 5: Solve for x
    x = 429,823.56/666.80
  6. Step 6: Final answer
    x = 644.61

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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.