Home / 1,605.20-2,406.96-509.54

Finding the Fourth Proportional to 1,605.20, 2,406.96 and 509.54

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Solution

The fourth proportional to 1,605.20, 2,406.96 and 509.54 is: 764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.20 : 2,406.96 = 509.54 : x
  2. Step 2: Convert to fraction form
    1,605.20/2,406.96 = 509.54/x
  3. Step 3: Cross multiply
    1,605.20x = 2,406.96 × 509.54
  4. Step 4: Simplify right side
    1,605.20x = 1,226,442.40
  5. Step 5: Solve for x
    x = 1,226,442.40/1,605.20
  6. Step 6: Final answer
    x = 764.04

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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.