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Finding the Fourth Proportional to 653.79, 980.70 and 396.75

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Solution

The fourth proportional to 653.79, 980.70 and 396.75 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.79 : 980.70 = 396.75 : x
  2. Step 2: Convert to fraction form
    653.79/980.70 = 396.75/x
  3. Step 3: Cross multiply
    653.79x = 980.70 × 396.75
  4. Step 4: Simplify right side
    653.79x = 389,092.73
  5. Step 5: Solve for x
    x = 389,092.73/653.79
  6. Step 6: Final answer
    x = 595.13

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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.