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Finding the Fourth Proportional to 716.76, 1,072.62 and 496.32

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Solution

The fourth proportional to 716.76, 1,072.62 and 496.32 is: 742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.76 : 1,072.62 = 496.32 : x
  2. Step 2: Convert to fraction form
    716.76/1,072.62 = 496.32/x
  3. Step 3: Cross multiply
    716.76x = 1,072.62 × 496.32
  4. Step 4: Simplify right side
    716.76x = 532,362.76
  5. Step 5: Solve for x
    x = 532,362.76/716.76
  6. Step 6: Final answer
    x = 742.74

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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.