Home / 1,032.90-1,427.67-984.30

Finding the Fourth Proportional to 1,032.90, 1,427.67 and 984.30

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Solution

The fourth proportional to 1,032.90, 1,427.67 and 984.30 is: 1,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.90 : 1,427.67 = 984.30 : x
  2. Step 2: Convert to fraction form
    1,032.90/1,427.67 = 984.30/x
  3. Step 3: Cross multiply
    1,032.90x = 1,427.67 × 984.30
  4. Step 4: Simplify right side
    1,032.90x = 1,405,255.58
  5. Step 5: Solve for x
    x = 1,405,255.58/1,032.90
  6. Step 6: Final answer
    x = 1,360.50

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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.