Home / 1,020.24-1,406.52-786.96

Finding the Fourth Proportional to 1,020.24, 1,406.52 and 786.96

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Solution

The fourth proportional to 1,020.24, 1,406.52 and 786.96 is: 1,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.24 : 1,406.52 = 786.96 : x
  2. Step 2: Convert to fraction form
    1,020.24/1,406.52 = 786.96/x
  3. Step 3: Cross multiply
    1,020.24x = 1,406.52 × 786.96
  4. Step 4: Simplify right side
    1,020.24x = 1,106,874.98
  5. Step 5: Solve for x
    x = 1,106,874.98/1,020.24
  6. Step 6: Final answer
    x = 1,084.92

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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.