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Finding the Fourth Proportional to 653.77, 980.34 and 345.97

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Solution

The fourth proportional to 653.77, 980.34 and 345.97 is: 518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.77 : 980.34 = 345.97 : x
  2. Step 2: Convert to fraction form
    653.77/980.34 = 345.97/x
  3. Step 3: Cross multiply
    653.77x = 980.34 × 345.97
  4. Step 4: Simplify right side
    653.77x = 339,168.23
  5. Step 5: Solve for x
    x = 339,168.23/653.77
  6. Step 6: Final answer
    x = 518.79

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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.