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Finding the Fourth Proportional to 716.84, 1,072.96 and 649.48

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Solution

The fourth proportional to 716.84, 1,072.96 and 649.48 is: 972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.84 : 1,072.96 = 649.48 : x
  2. Step 2: Convert to fraction form
    716.84/1,072.96 = 649.48/x
  3. Step 3: Cross multiply
    716.84x = 1,072.96 × 649.48
  4. Step 4: Simplify right side
    716.84x = 696,866.06
  5. Step 5: Solve for x
    x = 696,866.06/716.84
  6. Step 6: Final answer
    x = 972.14

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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.