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Finding the Fourth Proportional to 1,172.88, 1,761.48 and 977.94

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Solution

The fourth proportional to 1,172.88, 1,761.48 and 977.94 is: 1,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.88 : 1,761.48 = 977.94 : x
  2. Step 2: Convert to fraction form
    1,172.88/1,761.48 = 977.94/x
  3. Step 3: Cross multiply
    1,172.88x = 1,761.48 × 977.94
  4. Step 4: Simplify right side
    1,172.88x = 1,722,621.75
  5. Step 5: Solve for x
    x = 1,722,621.75/1,172.88
  6. Step 6: Final answer
    x = 1,468.71

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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.