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Finding the Fourth Proportional to 613.04, 845.02 and 416.21

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Solution

The fourth proportional to 613.04, 845.02 and 416.21 is: 573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.04 : 845.02 = 416.21 : x
  2. Step 2: Convert to fraction form
    613.04/845.02 = 416.21/x
  3. Step 3: Cross multiply
    613.04x = 845.02 × 416.21
  4. Step 4: Simplify right side
    613.04x = 351,705.77
  5. Step 5: Solve for x
    x = 351,705.77/613.04
  6. Step 6: Final answer
    x = 573.71

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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.