Home / 1,323.51-1,982.79-706.29

Finding the Fourth Proportional to 1,323.51, 1,982.79 and 706.29

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Solution

The fourth proportional to 1,323.51, 1,982.79 and 706.29 is: 1,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.51 : 1,982.79 = 706.29 : x
  2. Step 2: Convert to fraction form
    1,323.51/1,982.79 = 706.29/x
  3. Step 3: Cross multiply
    1,323.51x = 1,982.79 × 706.29
  4. Step 4: Simplify right side
    1,323.51x = 1,400,424.75
  5. Step 5: Solve for x
    x = 1,400,424.75/1,323.51
  6. Step 6: Final answer
    x = 1,058.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.