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Finding the Fourth Proportional to 613.01, 844.61 and 416.18

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Solution

The fourth proportional to 613.01, 844.61 and 416.18 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.01 : 844.61 = 416.18 : x
  2. Step 2: Convert to fraction form
    613.01/844.61 = 416.18/x
  3. Step 3: Cross multiply
    613.01x = 844.61 × 416.18
  4. Step 4: Simplify right side
    613.01x = 351,503.49
  5. Step 5: Solve for x
    x = 351,503.49/613.01
  6. Step 6: Final answer
    x = 573.41

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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.