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Finding the Fourth Proportional to 930.72, 1,286.16 and 773.16

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Solution

The fourth proportional to 930.72, 1,286.16 and 773.16 is: 1,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.72 : 1,286.16 = 773.16 : x
  2. Step 2: Convert to fraction form
    930.72/1,286.16 = 773.16/x
  3. Step 3: Cross multiply
    930.72x = 1,286.16 × 773.16
  4. Step 4: Simplify right side
    930.72x = 994,407.47
  5. Step 5: Solve for x
    x = 994,407.47/930.72
  6. Step 6: Final answer
    x = 1,068.43

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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.