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Finding the Fourth Proportional to 1,373.33, 2,059.74 and 679.77

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Solution

The fourth proportional to 1,373.33, 2,059.74 and 679.77 is: 1,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.33 : 2,059.74 = 679.77 : x
  2. Step 2: Convert to fraction form
    1,373.33/2,059.74 = 679.77/x
  3. Step 3: Cross multiply
    1,373.33x = 2,059.74 × 679.77
  4. Step 4: Simplify right side
    1,373.33x = 1,400,149.46
  5. Step 5: Solve for x
    x = 1,400,149.46/1,373.33
  6. Step 6: Final answer
    x = 1,019.53

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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.