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Finding the Fourth Proportional to 455.17, 685.22 and 353.05

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Solution

The fourth proportional to 455.17, 685.22 and 353.05 is: 531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.17 : 685.22 = 353.05 : x
  2. Step 2: Convert to fraction form
    455.17/685.22 = 353.05/x
  3. Step 3: Cross multiply
    455.17x = 685.22 × 353.05
  4. Step 4: Simplify right side
    455.17x = 241,916.04
  5. Step 5: Solve for x
    x = 241,916.04/455.17
  6. Step 6: Final answer
    x = 531.49

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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.