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Finding the Fourth Proportional to 1,205.68, 1,795.56 and 1,164.68

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Solution

The fourth proportional to 1,205.68, 1,795.56 and 1,164.68 is: 1,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.68 : 1,795.56 = 1,164.68 : x
  2. Step 2: Convert to fraction form
    1,205.68/1,795.56 = 1,164.68/x
  3. Step 3: Cross multiply
    1,205.68x = 1,795.56 × 1,164.68
  4. Step 4: Simplify right side
    1,205.68x = 2,091,238.02
  5. Step 5: Solve for x
    x = 2,091,238.02/1,205.68
  6. Step 6: Final answer
    x = 1,734.49

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1.5x scale

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.