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Finding the Fourth Proportional to 1,419.77, 1,959.60 and 822.38

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Solution

The fourth proportional to 1,419.77, 1,959.60 and 822.38 is: 1,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.77 : 1,959.60 = 822.38 : x
  2. Step 2: Convert to fraction form
    1,419.77/1,959.60 = 822.38/x
  3. Step 3: Cross multiply
    1,419.77x = 1,959.60 × 822.38
  4. Step 4: Simplify right side
    1,419.77x = 1,611,529.13
  5. Step 5: Solve for x
    x = 1,611,529.13/1,419.77
  6. Step 6: Final answer
    x = 1,135.06

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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.