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Finding the Fourth Proportional to 455.59, 684.78 and 335.35

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Solution

The fourth proportional to 455.59, 684.78 and 335.35 is: 504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.59 : 684.78 = 335.35 : x
  2. Step 2: Convert to fraction form
    455.59/684.78 = 335.35/x
  3. Step 3: Cross multiply
    455.59x = 684.78 × 335.35
  4. Step 4: Simplify right side
    455.59x = 229,640.97
  5. Step 5: Solve for x
    x = 229,640.97/455.59
  6. Step 6: Final answer
    x = 504.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.