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Finding the Fourth Proportional to 1,367.24, 1,886.69 and 777.67

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Solution

The fourth proportional to 1,367.24, 1,886.69 and 777.67 is: 1,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.24 : 1,886.69 = 777.67 : x
  2. Step 2: Convert to fraction form
    1,367.24/1,886.69 = 777.67/x
  3. Step 3: Cross multiply
    1,367.24x = 1,886.69 × 777.67
  4. Step 4: Simplify right side
    1,367.24x = 1,467,219.44
  5. Step 5: Solve for x
    x = 1,467,219.44/1,367.24
  6. Step 6: Final answer
    x = 1,073.13

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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.