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Finding the Fourth Proportional to 648.77, 968.01 and 609.38

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Solution

The fourth proportional to 648.77, 968.01 and 609.38 is: 909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.77 : 968.01 = 609.38 : x
  2. Step 2: Convert to fraction form
    648.77/968.01 = 609.38/x
  3. Step 3: Cross multiply
    648.77x = 968.01 × 609.38
  4. Step 4: Simplify right side
    648.77x = 589,881.09
  5. Step 5: Solve for x
    x = 589,881.09/648.77
  6. Step 6: Final answer
    x = 909.24

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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.