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Finding the Fourth Proportional to 1,408.50, 1,943.85 and 787.62

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Solution

The fourth proportional to 1,408.50, 1,943.85 and 787.62 is: 1,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.50 : 1,943.85 = 787.62 : x
  2. Step 2: Convert to fraction form
    1,408.50/1,943.85 = 787.62/x
  3. Step 3: Cross multiply
    1,408.50x = 1,943.85 × 787.62
  4. Step 4: Simplify right side
    1,408.50x = 1,531,015.14
  5. Step 5: Solve for x
    x = 1,531,015.14/1,408.50
  6. Step 6: Final answer
    x = 1,086.98

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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.