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Finding the Fourth Proportional to 933.84, 1,283.22 and 778.32

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Solution

The fourth proportional to 933.84, 1,283.22 and 778.32 is: 1,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.84 : 1,283.22 = 778.32 : x
  2. Step 2: Convert to fraction form
    933.84/1,283.22 = 778.32/x
  3. Step 3: Cross multiply
    933.84x = 1,283.22 × 778.32
  4. Step 4: Simplify right side
    933.84x = 998,755.79
  5. Step 5: Solve for x
    x = 998,755.79/933.84
  6. Step 6: Final answer
    x = 1,069.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.