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Finding the Fourth Proportional to 653.25, 978.85 and 344.17

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Solution

The fourth proportional to 653.25, 978.85 and 344.17 is: 515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.25 : 978.85 = 344.17 : x
  2. Step 2: Convert to fraction form
    653.25/978.85 = 344.17/x
  3. Step 3: Cross multiply
    653.25x = 978.85 × 344.17
  4. Step 4: Simplify right side
    653.25x = 336,889.74
  5. Step 5: Solve for x
    x = 336,889.74/653.25
  6. Step 6: Final answer
    x = 515.71

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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.