Home / 1,322.19-1,982.53-737.78

Finding the Fourth Proportional to 1,322.19, 1,982.53 and 737.78

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Solution

The fourth proportional to 1,322.19, 1,982.53 and 737.78 is: 1,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.19 : 1,982.53 = 737.78 : x
  2. Step 2: Convert to fraction form
    1,322.19/1,982.53 = 737.78/x
  3. Step 3: Cross multiply
    1,322.19x = 1,982.53 × 737.78
  4. Step 4: Simplify right side
    1,322.19x = 1,462,657.84
  5. Step 5: Solve for x
    x = 1,462,657.84/1,322.19
  6. Step 6: Final answer
    x = 1,106.24

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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.