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Finding the Fourth Proportional to 648.44, 968.20 and 586.88

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Solution

The fourth proportional to 648.44, 968.20 and 586.88 is: 876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.44 : 968.20 = 586.88 : x
  2. Step 2: Convert to fraction form
    648.44/968.20 = 586.88/x
  3. Step 3: Cross multiply
    648.44x = 968.20 × 586.88
  4. Step 4: Simplify right side
    648.44x = 568,214.28
  5. Step 5: Solve for x
    x = 568,214.28/648.44
  6. Step 6: Final answer
    x = 876.28

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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.