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Finding the Fourth Proportional to 1,408.34, 1,941.68 and 965.45

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Solution

The fourth proportional to 1,408.34, 1,941.68 and 965.45 is: 1,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.34 : 1,941.68 = 965.45 : x
  2. Step 2: Convert to fraction form
    1,408.34/1,941.68 = 965.45/x
  3. Step 3: Cross multiply
    1,408.34x = 1,941.68 × 965.45
  4. Step 4: Simplify right side
    1,408.34x = 1,874,580.42
  5. Step 5: Solve for x
    x = 1,874,580.42/1,408.34
  6. Step 6: Final answer
    x = 1,331.06

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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.