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Finding the Fourth Proportional to 945.72, 1,305.72 and 778.08

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Solution

The fourth proportional to 945.72, 1,305.72 and 778.08 is: 1,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.72 : 1,305.72 = 778.08 : x
  2. Step 2: Convert to fraction form
    945.72/1,305.72 = 778.08/x
  3. Step 3: Cross multiply
    945.72x = 1,305.72 × 778.08
  4. Step 4: Simplify right side
    945.72x = 1,015,954.62
  5. Step 5: Solve for x
    x = 1,015,954.62/945.72
  6. Step 6: Final answer
    x = 1,074.27

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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.