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Finding the Fourth Proportional to 921.80, 1,375.48 and 916.40

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Solution

The fourth proportional to 921.80, 1,375.48 and 916.40 is: 1,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.80 : 1,375.48 = 916.40 : x
  2. Step 2: Convert to fraction form
    921.80/1,375.48 = 916.40/x
  3. Step 3: Cross multiply
    921.80x = 1,375.48 × 916.40
  4. Step 4: Simplify right side
    921.80x = 1,260,489.87
  5. Step 5: Solve for x
    x = 1,260,489.87/921.80
  6. Step 6: Final answer
    x = 1,367.42

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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.