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Finding the Fourth Proportional to 493.59, 741.45 and 347.79

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Solution

The fourth proportional to 493.59, 741.45 and 347.79 is: 522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.59 : 741.45 = 347.79 : x
  2. Step 2: Convert to fraction form
    493.59/741.45 = 347.79/x
  3. Step 3: Cross multiply
    493.59x = 741.45 × 347.79
  4. Step 4: Simplify right side
    493.59x = 257,872.98
  5. Step 5: Solve for x
    x = 257,872.98/493.59
  6. Step 6: Final answer
    x = 522.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.