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Finding the Fourth Proportional to 649.47, 968.20 and 639.48

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Solution

The fourth proportional to 649.47, 968.20 and 639.48 is: 953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.47 : 968.20 = 639.48 : x
  2. Step 2: Convert to fraction form
    649.47/968.20 = 639.48/x
  3. Step 3: Cross multiply
    649.47x = 968.20 × 639.48
  4. Step 4: Simplify right side
    649.47x = 619,143.76
  5. Step 5: Solve for x
    x = 619,143.76/649.47
  6. Step 6: Final answer
    x = 953.30

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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.