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Finding the Fourth Proportional to 612.33, 845.37 and 416.13

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Solution

The fourth proportional to 612.33, 845.37 and 416.13 is: 574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.33 : 845.37 = 416.13 : x
  2. Step 2: Convert to fraction form
    612.33/845.37 = 416.13/x
  3. Step 3: Cross multiply
    612.33x = 845.37 × 416.13
  4. Step 4: Simplify right side
    612.33x = 351,783.82
  5. Step 5: Solve for x
    x = 351,783.82/612.33
  6. Step 6: Final answer
    x = 574.50

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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.