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Finding the Fourth Proportional to 684.80, 949.16 and 620

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Solution

The fourth proportional to 684.80, 949.16 and 620 is: 859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 949.16 = 620 : x
  2. Step 2: Convert to fraction form
    684.80/949.16 = 620/x
  3. Step 3: Cross multiply
    684.80x = 949.16 × 620
  4. Step 4: Simplify right side
    684.80x = 588,479.20
  5. Step 5: Solve for x
    x = 588,479.20/684.80
  6. Step 6: Final answer
    x = 859.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.