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Finding the Fourth Proportional to 808.21, 1,115.05 and 493.39

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Solution

The fourth proportional to 808.21, 1,115.05 and 493.39 is: 680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.21 : 1,115.05 = 493.39 : x
  2. Step 2: Convert to fraction form
    808.21/1,115.05 = 493.39/x
  3. Step 3: Cross multiply
    808.21x = 1,115.05 × 493.39
  4. Step 4: Simplify right side
    808.21x = 550,146.48
  5. Step 5: Solve for x
    x = 550,146.48/808.21
  6. Step 6: Final answer
    x = 680.70

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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.