Home / 1,039.77-1,557.21-966.87

Finding the Fourth Proportional to 1,039.77, 1,557.21 and 966.87

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Solution

The fourth proportional to 1,039.77, 1,557.21 and 966.87 is: 1,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.77 : 1,557.21 = 966.87 : x
  2. Step 2: Convert to fraction form
    1,039.77/1,557.21 = 966.87/x
  3. Step 3: Cross multiply
    1,039.77x = 1,557.21 × 966.87
  4. Step 4: Simplify right side
    1,039.77x = 1,505,619.63
  5. Step 5: Solve for x
    x = 1,505,619.63/1,039.77
  6. Step 6: Final answer
    x = 1,448.03

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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.