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Finding the Fourth Proportional to 449.09, 670.34 and 416.07

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Solution

The fourth proportional to 449.09, 670.34 and 416.07 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.09 : 670.34 = 416.07 : x
  2. Step 2: Convert to fraction form
    449.09/670.34 = 416.07/x
  3. Step 3: Cross multiply
    449.09x = 670.34 × 416.07
  4. Step 4: Simplify right side
    449.09x = 278,902.93
  5. Step 5: Solve for x
    x = 278,902.93/449.09
  6. Step 6: Final answer
    x = 621.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.