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Finding the Fourth Proportional to 653.91, 981.42 and 379.62

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Solution

The fourth proportional to 653.91, 981.42 and 379.62 is: 569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.91 : 981.42 = 379.62 : x
  2. Step 2: Convert to fraction form
    653.91/981.42 = 379.62/x
  3. Step 3: Cross multiply
    653.91x = 981.42 × 379.62
  4. Step 4: Simplify right side
    653.91x = 372,561.75
  5. Step 5: Solve for x
    x = 372,561.75/653.91
  6. Step 6: Final answer
    x = 569.75

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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.