Home / 1,162.30-1,742.16-459.32

Finding the Fourth Proportional to 1,162.30, 1,742.16 and 459.32

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Solution

The fourth proportional to 1,162.30, 1,742.16 and 459.32 is: 688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.30 : 1,742.16 = 459.32 : x
  2. Step 2: Convert to fraction form
    1,162.30/1,742.16 = 459.32/x
  3. Step 3: Cross multiply
    1,162.30x = 1,742.16 × 459.32
  4. Step 4: Simplify right side
    1,162.30x = 800,208.93
  5. Step 5: Solve for x
    x = 800,208.93/1,162.30
  6. Step 6: Final answer
    x = 688.47

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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.