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Finding the Fourth Proportional to 946.94, 1,305.23 and 778.28

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Solution

The fourth proportional to 946.94, 1,305.23 and 778.28 is: 1,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.94 : 1,305.23 = 778.28 : x
  2. Step 2: Convert to fraction form
    946.94/1,305.23 = 778.28/x
  3. Step 3: Cross multiply
    946.94x = 1,305.23 × 778.28
  4. Step 4: Simplify right side
    946.94x = 1,015,823.99
  5. Step 5: Solve for x
    x = 1,015,823.99/946.94
  6. Step 6: Final answer
    x = 1,072.75

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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.