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Finding the Fourth Proportional to 921.23, 1,374.74 and 759.23

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Solution

The fourth proportional to 921.23, 1,374.74 and 759.23 is: 1,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.23 : 1,374.74 = 759.23 : x
  2. Step 2: Convert to fraction form
    921.23/1,374.74 = 759.23/x
  3. Step 3: Cross multiply
    921.23x = 1,374.74 × 759.23
  4. Step 4: Simplify right side
    921.23x = 1,043,733.18
  5. Step 5: Solve for x
    x = 1,043,733.18/921.23
  6. Step 6: Final answer
    x = 1,132.98

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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.