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Finding the Fourth Proportional to 649.14, 967.47 and 648.14

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Solution

The fourth proportional to 649.14, 967.47 and 648.14 is: 965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 967.47 = 648.14 : x
  2. Step 2: Convert to fraction form
    649.14/967.47 = 648.14/x
  3. Step 3: Cross multiply
    649.14x = 967.47 × 648.14
  4. Step 4: Simplify right side
    649.14x = 627,051.17
  5. Step 5: Solve for x
    x = 627,051.17/649.14
  6. Step 6: Final answer
    x = 965.97

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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.