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Finding the Fourth Proportional to 1,193.63, 1,790.47 and 1,019.19

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Solution

The fourth proportional to 1,193.63, 1,790.47 and 1,019.19 is: 1,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.63 : 1,790.47 = 1,019.19 : x
  2. Step 2: Convert to fraction form
    1,193.63/1,790.47 = 1,019.19/x
  3. Step 3: Cross multiply
    1,193.63x = 1,790.47 × 1,019.19
  4. Step 4: Simplify right side
    1,193.63x = 1,824,829.12
  5. Step 5: Solve for x
    x = 1,824,829.12/1,193.63
  6. Step 6: Final answer
    x = 1,528.81

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1.5x scale

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.