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Finding the Fourth Proportional to 1,172.03, 1,756.96 and 442.09

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Solution

The fourth proportional to 1,172.03, 1,756.96 and 442.09 is: 662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.03 : 1,756.96 = 442.09 : x
  2. Step 2: Convert to fraction form
    1,172.03/1,756.96 = 442.09/x
  3. Step 3: Cross multiply
    1,172.03x = 1,756.96 × 442.09
  4. Step 4: Simplify right side
    1,172.03x = 776,734.45
  5. Step 5: Solve for x
    x = 776,734.45/1,172.03
  6. Step 6: Final answer
    x = 662.73

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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.