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Finding the Fourth Proportional to 649.41, 969.37 and 567.39

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Solution

The fourth proportional to 649.41, 969.37 and 567.39 is: 846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.41 : 969.37 = 567.39 : x
  2. Step 2: Convert to fraction form
    649.41/969.37 = 567.39/x
  3. Step 3: Cross multiply
    649.41x = 969.37 × 567.39
  4. Step 4: Simplify right side
    649.41x = 550,016.25
  5. Step 5: Solve for x
    x = 550,016.25/649.41
  6. Step 6: Final answer
    x = 846.95

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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.