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Finding the Fourth Proportional to 493.44, 679.80 and 345.80

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Solution

The fourth proportional to 493.44, 679.80 and 345.80 is: 476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.44 : 679.80 = 345.80 : x
  2. Step 2: Convert to fraction form
    493.44/679.80 = 345.80/x
  3. Step 3: Cross multiply
    493.44x = 679.80 × 345.80
  4. Step 4: Simplify right side
    493.44x = 235,074.84
  5. Step 5: Solve for x
    x = 235,074.84/493.44
  6. Step 6: Final answer
    x = 476.40

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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.