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Finding the Fourth Proportional to 921.17, 1,374.21 and 896.06

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Solution

The fourth proportional to 921.17, 1,374.21 and 896.06 is: 1,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.17 : 1,374.21 = 896.06 : x
  2. Step 2: Convert to fraction form
    921.17/1,374.21 = 896.06/x
  3. Step 3: Cross multiply
    921.17x = 1,374.21 × 896.06
  4. Step 4: Simplify right side
    921.17x = 1,231,367.74
  5. Step 5: Solve for x
    x = 1,231,367.74/921.17
  6. Step 6: Final answer
    x = 1,336.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.