Home / 1,559.40-2,338.23-777.81

Finding the Fourth Proportional to 1,559.40, 2,338.23 and 777.81

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Solution

The fourth proportional to 1,559.40, 2,338.23 and 777.81 is: 1,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.40 : 2,338.23 = 777.81 : x
  2. Step 2: Convert to fraction form
    1,559.40/2,338.23 = 777.81/x
  3. Step 3: Cross multiply
    1,559.40x = 2,338.23 × 777.81
  4. Step 4: Simplify right side
    1,559.40x = 1,818,698.68
  5. Step 5: Solve for x
    x = 1,818,698.68/1,559.40
  6. Step 6: Final answer
    x = 1,166.28

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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.