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Finding the Fourth Proportional to 648.88, 974.84 and 405.58

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Solution

The fourth proportional to 648.88, 974.84 and 405.58 is: 609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.88 : 974.84 = 405.58 : x
  2. Step 2: Convert to fraction form
    648.88/974.84 = 405.58/x
  3. Step 3: Cross multiply
    648.88x = 974.84 × 405.58
  4. Step 4: Simplify right side
    648.88x = 395,375.61
  5. Step 5: Solve for x
    x = 395,375.61/648.88
  6. Step 6: Final answer
    x = 609.32

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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.