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Finding the Fourth Proportional to 891.37, 1,230.09 and 493.05

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Solution

The fourth proportional to 891.37, 1,230.09 and 493.05 is: 680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.37 : 1,230.09 = 493.05 : x
  2. Step 2: Convert to fraction form
    891.37/1,230.09 = 493.05/x
  3. Step 3: Cross multiply
    891.37x = 1,230.09 × 493.05
  4. Step 4: Simplify right side
    891.37x = 606,498.64
  5. Step 5: Solve for x
    x = 606,498.64/891.37
  6. Step 6: Final answer
    x = 680.41

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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.