Home / 1,622.50-2,433.75-406.50

Finding the Fourth Proportional to 1,622.50, 2,433.75 and 406.50

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Solution

The fourth proportional to 1,622.50, 2,433.75 and 406.50 is: 609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.50 : 2,433.75 = 406.50 : x
  2. Step 2: Convert to fraction form
    1,622.50/2,433.75 = 406.50/x
  3. Step 3: Cross multiply
    1,622.50x = 2,433.75 × 406.50
  4. Step 4: Simplify right side
    1,622.50x = 989,319.38
  5. Step 5: Solve for x
    x = 989,319.38/1,622.50
  6. Step 6: Final answer
    x = 609.75

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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.