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Finding the Fourth Proportional to 1,408.53, 1,943.64 and 819.12

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Solution

The fourth proportional to 1,408.53, 1,943.64 and 819.12 is: 1,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.53 : 1,943.64 = 819.12 : x
  2. Step 2: Convert to fraction form
    1,408.53/1,943.64 = 819.12/x
  3. Step 3: Cross multiply
    1,408.53x = 1,943.64 × 819.12
  4. Step 4: Simplify right side
    1,408.53x = 1,592,074.40
  5. Step 5: Solve for x
    x = 1,592,074.40/1,408.53
  6. Step 6: Final answer
    x = 1,130.31

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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.