Home / 1,467.09-2,197.40-816.39

Finding the Fourth Proportional to 1,467.09, 2,197.40 and 816.39

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Solution

The fourth proportional to 1,467.09, 2,197.40 and 816.39 is: 1,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.09 : 2,197.40 = 816.39 : x
  2. Step 2: Convert to fraction form
    1,467.09/2,197.40 = 816.39/x
  3. Step 3: Cross multiply
    1,467.09x = 2,197.40 × 816.39
  4. Step 4: Simplify right side
    1,467.09x = 1,793,931.30
  5. Step 5: Solve for x
    x = 1,793,931.30/1,467.09
  6. Step 6: Final answer
    x = 1,222.78

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1.5x scale

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.