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Finding the Fourth Proportional to 648.61, 968.20 and 600.42

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Solution

The fourth proportional to 648.61, 968.20 and 600.42 is: 896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.61 : 968.20 = 600.42 : x
  2. Step 2: Convert to fraction form
    648.61/968.20 = 600.42/x
  3. Step 3: Cross multiply
    648.61x = 968.20 × 600.42
  4. Step 4: Simplify right side
    648.61x = 581,326.64
  5. Step 5: Solve for x
    x = 581,326.64/648.61
  6. Step 6: Final answer
    x = 896.27

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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.