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Finding the Fourth Proportional to 649.58, 969.75 and 626.80

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Solution

The fourth proportional to 649.58, 969.75 and 626.80 is: 935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.58 : 969.75 = 626.80 : x
  2. Step 2: Convert to fraction form
    649.58/969.75 = 626.80/x
  3. Step 3: Cross multiply
    649.58x = 969.75 × 626.80
  4. Step 4: Simplify right side
    649.58x = 607,839.30
  5. Step 5: Solve for x
    x = 607,839.30/649.58
  6. Step 6: Final answer
    x = 935.74

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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.