Home / 1,020.32-1,409.04-942.56

Finding the Fourth Proportional to 1,020.32, 1,409.04 and 942.56

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Solution

The fourth proportional to 1,020.32, 1,409.04 and 942.56 is: 1,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.32 : 1,409.04 = 942.56 : x
  2. Step 2: Convert to fraction form
    1,020.32/1,409.04 = 942.56/x
  3. Step 3: Cross multiply
    1,020.32x = 1,409.04 × 942.56
  4. Step 4: Simplify right side
    1,020.32x = 1,328,104.74
  5. Step 5: Solve for x
    x = 1,328,104.74/1,020.32
  6. Step 6: Final answer
    x = 1,301.66

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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.