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Finding the Fourth Proportional to 1,397.02, 2,093.93 and 574.29

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Solution

The fourth proportional to 1,397.02, 2,093.93 and 574.29 is: 860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.02 : 2,093.93 = 574.29 : x
  2. Step 2: Convert to fraction form
    1,397.02/2,093.93 = 574.29/x
  3. Step 3: Cross multiply
    1,397.02x = 2,093.93 × 574.29
  4. Step 4: Simplify right side
    1,397.02x = 1,202,520.73
  5. Step 5: Solve for x
    x = 1,202,520.73/1,397.02
  6. Step 6: Final answer
    x = 860.77

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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.