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Finding the Fourth Proportional to 493.29, 680.40 and 375.33

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Solution

The fourth proportional to 493.29, 680.40 and 375.33 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.29 : 680.40 = 375.33 : x
  2. Step 2: Convert to fraction form
    493.29/680.40 = 375.33/x
  3. Step 3: Cross multiply
    493.29x = 680.40 × 375.33
  4. Step 4: Simplify right side
    493.29x = 255,377.08
  5. Step 5: Solve for x
    x = 255,377.08/493.29
  6. Step 6: Final answer
    x = 517.70

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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.