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Finding the Fourth Proportional to 927.89, 1,389.86 and 696.43

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Solution

The fourth proportional to 927.89, 1,389.86 and 696.43 is: 1,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.89 : 1,389.86 = 696.43 : x
  2. Step 2: Convert to fraction form
    927.89/1,389.86 = 696.43/x
  3. Step 3: Cross multiply
    927.89x = 1,389.86 × 696.43
  4. Step 4: Simplify right side
    927.89x = 967,941.07
  5. Step 5: Solve for x
    x = 967,941.07/927.89
  6. Step 6: Final answer
    x = 1,043.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.