Home / 1,430.22-2,145.30-456.31

Finding the Fourth Proportional to 1,430.22, 2,145.30 and 456.31

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Solution

The fourth proportional to 1,430.22, 2,145.30 and 456.31 is: 684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.22 : 2,145.30 = 456.31 : x
  2. Step 2: Convert to fraction form
    1,430.22/2,145.30 = 456.31/x
  3. Step 3: Cross multiply
    1,430.22x = 2,145.30 × 456.31
  4. Step 4: Simplify right side
    1,430.22x = 978,921.84
  5. Step 5: Solve for x
    x = 978,921.84/1,430.22
  6. Step 6: Final answer
    x = 684.46

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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.