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Finding the Fourth Proportional to 1,620.43, 2,430.38 and 580.28

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Solution

The fourth proportional to 1,620.43, 2,430.38 and 580.28 is: 870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.43 : 2,430.38 = 580.28 : x
  2. Step 2: Convert to fraction form
    1,620.43/2,430.38 = 580.28/x
  3. Step 3: Cross multiply
    1,620.43x = 2,430.38 × 580.28
  4. Step 4: Simplify right side
    1,620.43x = 1,410,291.99
  5. Step 5: Solve for x
    x = 1,410,291.99/1,620.43
  6. Step 6: Final answer
    x = 870.32

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