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Finding the Fourth Proportional to 648.21, 972.32 and 551.82

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Solution

The fourth proportional to 648.21, 972.32 and 551.82 is: 827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.21 : 972.32 = 551.82 : x
  2. Step 2: Convert to fraction form
    648.21/972.32 = 551.82/x
  3. Step 3: Cross multiply
    648.21x = 972.32 × 551.82
  4. Step 4: Simplify right side
    648.21x = 536,542.86
  5. Step 5: Solve for x
    x = 536,542.86/648.21
  6. Step 6: Final answer
    x = 827.73

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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.