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Finding the Fourth Proportional to 1,370.34, 2,054.79 and 640.08

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Solution

The fourth proportional to 1,370.34, 2,054.79 and 640.08 is: 959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.34 : 2,054.79 = 640.08 : x
  2. Step 2: Convert to fraction form
    1,370.34/2,054.79 = 640.08/x
  3. Step 3: Cross multiply
    1,370.34x = 2,054.79 × 640.08
  4. Step 4: Simplify right side
    1,370.34x = 1,315,229.98
  5. Step 5: Solve for x
    x = 1,315,229.98/1,370.34
  6. Step 6: Final answer
    x = 959.78

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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.