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Finding the Fourth Proportional to 402.82, 604.71 and 345.70

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Solution

The fourth proportional to 402.82, 604.71 and 345.70 is: 518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 604.71 = 345.70 : x
  2. Step 2: Convert to fraction form
    402.82/604.71 = 345.70/x
  3. Step 3: Cross multiply
    402.82x = 604.71 × 345.70
  4. Step 4: Simplify right side
    402.82x = 209,048.25
  5. Step 5: Solve for x
    x = 209,048.25/402.82
  6. Step 6: Final answer
    x = 518.96

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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.