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Finding the Fourth Proportional to 1,370.05, 1,888.52 and 1,203.98

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Solution

The fourth proportional to 1,370.05, 1,888.52 and 1,203.98 is: 1,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.05 : 1,888.52 = 1,203.98 : x
  2. Step 2: Convert to fraction form
    1,370.05/1,888.52 = 1,203.98/x
  3. Step 3: Cross multiply
    1,370.05x = 1,888.52 × 1,203.98
  4. Step 4: Simplify right side
    1,370.05x = 2,273,724.85
  5. Step 5: Solve for x
    x = 2,273,724.85/1,370.05
  6. Step 6: Final answer
    x = 1,659.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.