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Finding the Fourth Proportional to 455.59, 680.11 and 435.65

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Solution

The fourth proportional to 455.59, 680.11 and 435.65 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.59 : 680.11 = 435.65 : x
  2. Step 2: Convert to fraction form
    455.59/680.11 = 435.65/x
  3. Step 3: Cross multiply
    455.59x = 680.11 × 435.65
  4. Step 4: Simplify right side
    455.59x = 296,285.43
  5. Step 5: Solve for x
    x = 296,285.43/455.59
  6. Step 6: Final answer
    x = 650.33

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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.