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Finding the Fourth Proportional to 444.60, 613.17 and 314.19

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Solution

The fourth proportional to 444.60, 613.17 and 314.19 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.60 : 613.17 = 314.19 : x
  2. Step 2: Convert to fraction form
    444.60/613.17 = 314.19/x
  3. Step 3: Cross multiply
    444.60x = 613.17 × 314.19
  4. Step 4: Simplify right side
    444.60x = 192,651.88
  5. Step 5: Solve for x
    x = 192,651.88/444.60
  6. Step 6: Final answer
    x = 433.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.