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Finding the Fourth Proportional to 491.76, 679.44 and 464.42

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Solution

The fourth proportional to 491.76, 679.44 and 464.42 is: 641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.76 : 679.44 = 464.42 : x
  2. Step 2: Convert to fraction form
    491.76/679.44 = 464.42/x
  3. Step 3: Cross multiply
    491.76x = 679.44 × 464.42
  4. Step 4: Simplify right side
    491.76x = 315,542.13
  5. Step 5: Solve for x
    x = 315,542.13/491.76
  6. Step 6: Final answer
    x = 641.66

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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.