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Finding the Fourth Proportional to 808.06, 1,115.13 and 493.28

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Solution

The fourth proportional to 808.06, 1,115.13 and 493.28 is: 680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.06 : 1,115.13 = 493.28 : x
  2. Step 2: Convert to fraction form
    808.06/1,115.13 = 493.28/x
  3. Step 3: Cross multiply
    808.06x = 1,115.13 × 493.28
  4. Step 4: Simplify right side
    808.06x = 550,071.33
  5. Step 5: Solve for x
    x = 550,071.33/808.06
  6. Step 6: Final answer
    x = 680.74

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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.