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Finding the Fourth Proportional to 653.88, 980 and 345.68

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Solution

The fourth proportional to 653.88, 980 and 345.68 is: 518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 980 = 345.68 : x
  2. Step 2: Convert to fraction form
    653.88/980 = 345.68/x
  3. Step 3: Cross multiply
    653.88x = 980 × 345.68
  4. Step 4: Simplify right side
    653.88x = 338,766.40
  5. Step 5: Solve for x
    x = 338,766.40/653.88
  6. Step 6: Final answer
    x = 518.09

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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.