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Finding the Fourth Proportional to 440.37, 610.49 and 416.96

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Solution

The fourth proportional to 440.37, 610.49 and 416.96 is: 578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.37 : 610.49 = 416.96 : x
  2. Step 2: Convert to fraction form
    440.37/610.49 = 416.96/x
  3. Step 3: Cross multiply
    440.37x = 610.49 × 416.96
  4. Step 4: Simplify right side
    440.37x = 254,550.46
  5. Step 5: Solve for x
    x = 254,550.46/440.37
  6. Step 6: Final answer
    x = 578.04

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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.