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Finding the Fourth Proportional to 1,172.58, 1,749.73 and 1,164.48

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Solution

The fourth proportional to 1,172.58, 1,749.73 and 1,164.48 is: 1,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.58 : 1,749.73 = 1,164.48 : x
  2. Step 2: Convert to fraction form
    1,172.58/1,749.73 = 1,164.48/x
  3. Step 3: Cross multiply
    1,172.58x = 1,749.73 × 1,164.48
  4. Step 4: Simplify right side
    1,172.58x = 2,037,525.59
  5. Step 5: Solve for x
    x = 2,037,525.59/1,172.58
  6. Step 6: Final answer
    x = 1,737.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.