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Finding the Fourth Proportional to 1,408.40, 1,943.64 and 884.72

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Solution

The fourth proportional to 1,408.40, 1,943.64 and 884.72 is: 1,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.40 : 1,943.64 = 884.72 : x
  2. Step 2: Convert to fraction form
    1,408.40/1,943.64 = 884.72/x
  3. Step 3: Cross multiply
    1,408.40x = 1,943.64 × 884.72
  4. Step 4: Simplify right side
    1,408.40x = 1,719,577.18
  5. Step 5: Solve for x
    x = 1,719,577.18/1,408.40
  6. Step 6: Final answer
    x = 1,220.94

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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.