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Finding the Fourth Proportional to 416.16, 621.48 and 411.64

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Solution

The fourth proportional to 416.16, 621.48 and 411.64 is: 614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 621.48 = 411.64 : x
  2. Step 2: Convert to fraction form
    416.16/621.48 = 411.64/x
  3. Step 3: Cross multiply
    416.16x = 621.48 × 411.64
  4. Step 4: Simplify right side
    416.16x = 255,826.03
  5. Step 5: Solve for x
    x = 255,826.03/416.16
  6. Step 6: Final answer
    x = 614.73

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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.