Home / 1,143.02-1,722.31-942.07

Finding the Fourth Proportional to 1,143.02, 1,722.31 and 942.07

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Solution

The fourth proportional to 1,143.02, 1,722.31 and 942.07 is: 1,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.02 : 1,722.31 = 942.07 : x
  2. Step 2: Convert to fraction form
    1,143.02/1,722.31 = 942.07/x
  3. Step 3: Cross multiply
    1,143.02x = 1,722.31 × 942.07
  4. Step 4: Simplify right side
    1,143.02x = 1,622,536.58
  5. Step 5: Solve for x
    x = 1,622,536.58/1,143.02
  6. Step 6: Final answer
    x = 1,419.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.