Home / 1,407.31-1,944-1,223.23

Finding the Fourth Proportional to 1,407.31, 1,944 and 1,223.23

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Solution

The fourth proportional to 1,407.31, 1,944 and 1,223.23 is: 1,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.31 : 1,944 = 1,223.23 : x
  2. Step 2: Convert to fraction form
    1,407.31/1,944 = 1,223.23/x
  3. Step 3: Cross multiply
    1,407.31x = 1,944 × 1,223.23
  4. Step 4: Simplify right side
    1,407.31x = 2,377,959.12
  5. Step 5: Solve for x
    x = 2,377,959.12/1,407.31
  6. Step 6: Final answer
    x = 1,689.72

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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.