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Finding the Fourth Proportional to 716.41, 1,072.54 and 456.72

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Solution

The fourth proportional to 716.41, 1,072.54 and 456.72 is: 683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.41 : 1,072.54 = 456.72 : x
  2. Step 2: Convert to fraction form
    716.41/1,072.54 = 456.72/x
  3. Step 3: Cross multiply
    716.41x = 1,072.54 × 456.72
  4. Step 4: Simplify right side
    716.41x = 489,850.47
  5. Step 5: Solve for x
    x = 489,850.47/716.41
  6. Step 6: Final answer
    x = 683.76

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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.