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Finding the Fourth Proportional to 1,393.54, 2,090.88 and 469.21

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Solution

The fourth proportional to 1,393.54, 2,090.88 and 469.21 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.54 : 2,090.88 = 469.21 : x
  2. Step 2: Convert to fraction form
    1,393.54/2,090.88 = 469.21/x
  3. Step 3: Cross multiply
    1,393.54x = 2,090.88 × 469.21
  4. Step 4: Simplify right side
    1,393.54x = 981,061.80
  5. Step 5: Solve for x
    x = 981,061.80/1,393.54
  6. Step 6: Final answer
    x = 704.01

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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.