Home / 1,187.20-1,638.34-768.36

Finding the Fourth Proportional to 1,187.20, 1,638.34 and 768.36

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Solution

The fourth proportional to 1,187.20, 1,638.34 and 768.36 is: 1,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.20 : 1,638.34 = 768.36 : x
  2. Step 2: Convert to fraction form
    1,187.20/1,638.34 = 768.36/x
  3. Step 3: Cross multiply
    1,187.20x = 1,638.34 × 768.36
  4. Step 4: Simplify right side
    1,187.20x = 1,258,834.92
  5. Step 5: Solve for x
    x = 1,258,834.92/1,187.20
  6. Step 6: Final answer
    x = 1,060.34

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1.5x scale

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.