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Finding the Fourth Proportional to 654.95, 979.98 and 395.14

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Solution

The fourth proportional to 654.95, 979.98 and 395.14 is: 591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.95 : 979.98 = 395.14 : x
  2. Step 2: Convert to fraction form
    654.95/979.98 = 395.14/x
  3. Step 3: Cross multiply
    654.95x = 979.98 × 395.14
  4. Step 4: Simplify right side
    654.95x = 387,229.30
  5. Step 5: Solve for x
    x = 387,229.30/654.95
  6. Step 6: Final answer
    x = 591.23

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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.