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Finding the Fourth Proportional to 2,656.85, 3,985.42 and 808.02

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Solution

The fourth proportional to 2,656.85, 3,985.42 and 808.02 is: 1,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.85 : 3,985.42 = 808.02 : x
  2. Step 2: Convert to fraction form
    2,656.85/3,985.42 = 808.02/x
  3. Step 3: Cross multiply
    2,656.85x = 3,985.42 × 808.02
  4. Step 4: Simplify right side
    2,656.85x = 3,220,299.07
  5. Step 5: Solve for x
    x = 3,220,299.07/2,656.85
  6. Step 6: Final answer
    x = 1,212.07

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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.