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Finding the Fourth Proportional to 1,172.94, 1,763.04 and 742.80

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Solution

The fourth proportional to 1,172.94, 1,763.04 and 742.80 is: 1,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.94 : 1,763.04 = 742.80 : x
  2. Step 2: Convert to fraction form
    1,172.94/1,763.04 = 742.80/x
  3. Step 3: Cross multiply
    1,172.94x = 1,763.04 × 742.80
  4. Step 4: Simplify right side
    1,172.94x = 1,309,586.11
  5. Step 5: Solve for x
    x = 1,309,586.11/1,172.94
  6. Step 6: Final answer
    x = 1,116.50

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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.