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Finding the Fourth Proportional to 648.50, 894.95 and 396.47

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Solution

The fourth proportional to 648.50, 894.95 and 396.47 is: 547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.50 : 894.95 = 396.47 : x
  2. Step 2: Convert to fraction form
    648.50/894.95 = 396.47/x
  3. Step 3: Cross multiply
    648.50x = 894.95 × 396.47
  4. Step 4: Simplify right side
    648.50x = 354,820.83
  5. Step 5: Solve for x
    x = 354,820.83/648.50
  6. Step 6: Final answer
    x = 547.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.