Home / 1,020.48-1,405.26-758.04

Finding the Fourth Proportional to 1,020.48, 1,405.26 and 758.04

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Solution

The fourth proportional to 1,020.48, 1,405.26 and 758.04 is: 1,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.48 : 1,405.26 = 758.04 : x
  2. Step 2: Convert to fraction form
    1,020.48/1,405.26 = 758.04/x
  3. Step 3: Cross multiply
    1,020.48x = 1,405.26 × 758.04
  4. Step 4: Simplify right side
    1,020.48x = 1,065,243.29
  5. Step 5: Solve for x
    x = 1,065,243.29/1,020.48
  6. Step 6: Final answer
    x = 1,043.86

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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.