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Finding the Fourth Proportional to 1,662.44, 2,294.16 and 916.43

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Solution

The fourth proportional to 1,662.44, 2,294.16 and 916.43 is: 1,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.44 : 2,294.16 = 916.43 : x
  2. Step 2: Convert to fraction form
    1,662.44/2,294.16 = 916.43/x
  3. Step 3: Cross multiply
    1,662.44x = 2,294.16 × 916.43
  4. Step 4: Simplify right side
    1,662.44x = 2,102,437.05
  5. Step 5: Solve for x
    x = 2,102,437.05/1,662.44
  6. Step 6: Final answer
    x = 1,264.67

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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.