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Finding the Fourth Proportional to 1,569.21, 2,354.12 and 789.38

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Solution

The fourth proportional to 1,569.21, 2,354.12 and 789.38 is: 1,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.21 : 2,354.12 = 789.38 : x
  2. Step 2: Convert to fraction form
    1,569.21/2,354.12 = 789.38/x
  3. Step 3: Cross multiply
    1,569.21x = 2,354.12 × 789.38
  4. Step 4: Simplify right side
    1,569.21x = 1,858,291.30
  5. Step 5: Solve for x
    x = 1,858,291.30/1,569.21
  6. Step 6: Final answer
    x = 1,184.22

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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.