Home / 1,467.34-2,199.77-686.95

Finding the Fourth Proportional to 1,467.34, 2,199.77 and 686.95

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Solution

The fourth proportional to 1,467.34, 2,199.77 and 686.95 is: 1,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.34 : 2,199.77 = 686.95 : x
  2. Step 2: Convert to fraction form
    1,467.34/2,199.77 = 686.95/x
  3. Step 3: Cross multiply
    1,467.34x = 2,199.77 × 686.95
  4. Step 4: Simplify right side
    1,467.34x = 1,511,121.00
  5. Step 5: Solve for x
    x = 1,511,121.00/1,467.34
  6. Step 6: Final answer
    x = 1,029.84

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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.