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Finding the Fourth Proportional to 455.08, 685.95 and 416.13

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Solution

The fourth proportional to 455.08, 685.95 and 416.13 is: 627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.08 : 685.95 = 416.13 : x
  2. Step 2: Convert to fraction form
    455.08/685.95 = 416.13/x
  3. Step 3: Cross multiply
    455.08x = 685.95 × 416.13
  4. Step 4: Simplify right side
    455.08x = 285,440.94
  5. Step 5: Solve for x
    x = 285,440.94/455.08
  6. Step 6: Final answer
    x = 627.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.