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Finding the Fourth Proportional to 715.73, 1,072.78 and 455.09

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Solution

The fourth proportional to 715.73, 1,072.78 and 455.09 is: 682.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.73 : 1,072.78 = 455.09 : x
  2. Step 2: Convert to fraction form
    715.73/1,072.78 = 455.09/x
  3. Step 3: Cross multiply
    715.73x = 1,072.78 × 455.09
  4. Step 4: Simplify right side
    715.73x = 488,204.95
  5. Step 5: Solve for x
    x = 488,204.95/715.73
  6. Step 6: Final answer
    x = 682.11

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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.