Home / 1,233.20-1,848.30-538.40

Finding the Fourth Proportional to 1,233.20, 1,848.30 and 538.40

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Solution

The fourth proportional to 1,233.20, 1,848.30 and 538.40 is: 806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.20 : 1,848.30 = 538.40 : x
  2. Step 2: Convert to fraction form
    1,233.20/1,848.30 = 538.40/x
  3. Step 3: Cross multiply
    1,233.20x = 1,848.30 × 538.40
  4. Step 4: Simplify right side
    1,233.20x = 995,124.72
  5. Step 5: Solve for x
    x = 995,124.72/1,233.20
  6. Step 6: Final answer
    x = 806.95

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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.