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Finding the Fourth Proportional to 1,393.66, 2,090.49 and 420.44

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Solution

The fourth proportional to 1,393.66, 2,090.49 and 420.44 is: 630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.66 : 2,090.49 = 420.44 : x
  2. Step 2: Convert to fraction form
    1,393.66/2,090.49 = 420.44/x
  3. Step 3: Cross multiply
    1,393.66x = 2,090.49 × 420.44
  4. Step 4: Simplify right side
    1,393.66x = 878,923.51
  5. Step 5: Solve for x
    x = 878,923.51/1,393.66
  6. Step 6: Final answer
    x = 630.66

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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.