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Finding the Fourth Proportional to 921.82, 1,271.43 and 686.56

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Solution

The fourth proportional to 921.82, 1,271.43 and 686.56 is: 946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.82 : 1,271.43 = 686.56 : x
  2. Step 2: Convert to fraction form
    921.82/1,271.43 = 686.56/x
  3. Step 3: Cross multiply
    921.82x = 1,271.43 × 686.56
  4. Step 4: Simplify right side
    921.82x = 872,912.98
  5. Step 5: Solve for x
    x = 872,912.98/921.82
  6. Step 6: Final answer
    x = 946.95

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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.