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Finding the Fourth Proportional to 1,446.75, 2,165.34 and 899.40

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Solution

The fourth proportional to 1,446.75, 2,165.34 and 899.40 is: 1,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.75 : 2,165.34 = 899.40 : x
  2. Step 2: Convert to fraction form
    1,446.75/2,165.34 = 899.40/x
  3. Step 3: Cross multiply
    1,446.75x = 2,165.34 × 899.40
  4. Step 4: Simplify right side
    1,446.75x = 1,947,506.80
  5. Step 5: Solve for x
    x = 1,947,506.80/1,446.75
  6. Step 6: Final answer
    x = 1,346.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.