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Finding the Fourth Proportional to 491.55, 677.97 and 467.44

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Solution

The fourth proportional to 491.55, 677.97 and 467.44 is: 644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.55 : 677.97 = 467.44 : x
  2. Step 2: Convert to fraction form
    491.55/677.97 = 467.44/x
  3. Step 3: Cross multiply
    491.55x = 677.97 × 467.44
  4. Step 4: Simplify right side
    491.55x = 316,910.30
  5. Step 5: Solve for x
    x = 316,910.30/491.55
  6. Step 6: Final answer
    x = 644.72

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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.