Home / 1,622.10-2,433.60-800.40

Finding the Fourth Proportional to 1,622.10, 2,433.60 and 800.40

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Solution

The fourth proportional to 1,622.10, 2,433.60 and 800.40 is: 1,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.10 : 2,433.60 = 800.40 : x
  2. Step 2: Convert to fraction form
    1,622.10/2,433.60 = 800.40/x
  3. Step 3: Cross multiply
    1,622.10x = 2,433.60 × 800.40
  4. Step 4: Simplify right side
    1,622.10x = 1,947,853.44
  5. Step 5: Solve for x
    x = 1,947,853.44/1,622.10
  6. Step 6: Final answer
    x = 1,200.82

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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.