Home / 1,430.37-2,145.60-456.38

Finding the Fourth Proportional to 1,430.37, 2,145.60 and 456.38

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Solution

The fourth proportional to 1,430.37, 2,145.60 and 456.38 is: 684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.37 : 2,145.60 = 456.38 : x
  2. Step 2: Convert to fraction form
    1,430.37/2,145.60 = 456.38/x
  3. Step 3: Cross multiply
    1,430.37x = 2,145.60 × 456.38
  4. Step 4: Simplify right side
    1,430.37x = 979,198.20
  5. Step 5: Solve for x
    x = 979,198.20/1,430.37
  6. Step 6: Final answer
    x = 684.58

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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.