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Finding the Fourth Proportional to 1,393.55, 2,090.39 and 1,149.63

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Solution

The fourth proportional to 1,393.55, 2,090.39 and 1,149.63 is: 1,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.55 : 2,090.39 = 1,149.63 : x
  2. Step 2: Convert to fraction form
    1,393.55/2,090.39 = 1,149.63/x
  3. Step 3: Cross multiply
    1,393.55x = 2,090.39 × 1,149.63
  4. Step 4: Simplify right side
    1,393.55x = 2,403,169.31
  5. Step 5: Solve for x
    x = 2,403,169.31/1,393.55
  6. Step 6: Final answer
    x = 1,724.50

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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.