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Finding the Fourth Proportional to 1,771.26, 2,656.89 and 538.68

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Solution

The fourth proportional to 1,771.26, 2,656.89 and 538.68 is: 808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.26 : 2,656.89 = 538.68 : x
  2. Step 2: Convert to fraction form
    1,771.26/2,656.89 = 538.68/x
  3. Step 3: Cross multiply
    1,771.26x = 2,656.89 × 538.68
  4. Step 4: Simplify right side
    1,771.26x = 1,431,213.51
  5. Step 5: Solve for x
    x = 1,431,213.51/1,771.26
  6. Step 6: Final answer
    x = 808.02

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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.