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Finding the Fourth Proportional to 1,518.08, 2,277.20 and 492

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Solution

The fourth proportional to 1,518.08, 2,277.20 and 492 is: 738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.08 : 2,277.20 = 492 : x
  2. Step 2: Convert to fraction form
    1,518.08/2,277.20 = 492/x
  3. Step 3: Cross multiply
    1,518.08x = 2,277.20 × 492
  4. Step 4: Simplify right side
    1,518.08x = 1,120,382.40
  5. Step 5: Solve for x
    x = 1,120,382.40/1,518.08
  6. Step 6: Final answer
    x = 738.03

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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.