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Finding the Fourth Proportional to 1,494.21, 2,241.62 and 569.78

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Solution

The fourth proportional to 1,494.21, 2,241.62 and 569.78 is: 854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.21 : 2,241.62 = 569.78 : x
  2. Step 2: Convert to fraction form
    1,494.21/2,241.62 = 569.78/x
  3. Step 3: Cross multiply
    1,494.21x = 2,241.62 × 569.78
  4. Step 4: Simplify right side
    1,494.21x = 1,277,216.19
  5. Step 5: Solve for x
    x = 1,277,216.19/1,494.21
  6. Step 6: Final answer
    x = 854.78

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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.