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Finding the Fourth Proportional to 649.01, 968.39 and 609.63

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Solution

The fourth proportional to 649.01, 968.39 and 609.63 is: 909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.01 : 968.39 = 609.63 : x
  2. Step 2: Convert to fraction form
    649.01/968.39 = 609.63/x
  3. Step 3: Cross multiply
    649.01x = 968.39 × 609.63
  4. Step 4: Simplify right side
    649.01x = 590,351.71
  5. Step 5: Solve for x
    x = 590,351.71/649.01
  6. Step 6: Final answer
    x = 909.62

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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.