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Finding the Fourth Proportional to 648.20, 971.46 and 355.83

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Solution

The fourth proportional to 648.20, 971.46 and 355.83 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 971.46 = 355.83 : x
  2. Step 2: Convert to fraction form
    648.20/971.46 = 355.83/x
  3. Step 3: Cross multiply
    648.20x = 971.46 × 355.83
  4. Step 4: Simplify right side
    648.20x = 345,670.97
  5. Step 5: Solve for x
    x = 345,670.97/648.20
  6. Step 6: Final answer
    x = 533.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.