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Finding the Fourth Proportional to 649.53, 975.38 and 606.33

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Solution

The fourth proportional to 649.53, 975.38 and 606.33 is: 910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.53 : 975.38 = 606.33 : x
  2. Step 2: Convert to fraction form
    649.53/975.38 = 606.33/x
  3. Step 3: Cross multiply
    649.53x = 975.38 × 606.33
  4. Step 4: Simplify right side
    649.53x = 591,399.12
  5. Step 5: Solve for x
    x = 591,399.12/649.53
  6. Step 6: Final answer
    x = 910.50

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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.