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Finding the Fourth Proportional to 905.44, 1,355.10 and 493.48

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Solution

The fourth proportional to 905.44, 1,355.10 and 493.48 is: 738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.44 : 1,355.10 = 493.48 : x
  2. Step 2: Convert to fraction form
    905.44/1,355.10 = 493.48/x
  3. Step 3: Cross multiply
    905.44x = 1,355.10 × 493.48
  4. Step 4: Simplify right side
    905.44x = 668,714.75
  5. Step 5: Solve for x
    x = 668,714.75/905.44
  6. Step 6: Final answer
    x = 738.55

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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.