Home / 1,038.30-1,433.03-789.23

Finding the Fourth Proportional to 1,038.30, 1,433.03 and 789.23

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Solution

The fourth proportional to 1,038.30, 1,433.03 and 789.23 is: 1,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.30 : 1,433.03 = 789.23 : x
  2. Step 2: Convert to fraction form
    1,038.30/1,433.03 = 789.23/x
  3. Step 3: Cross multiply
    1,038.30x = 1,433.03 × 789.23
  4. Step 4: Simplify right side
    1,038.30x = 1,130,979.16
  5. Step 5: Solve for x
    x = 1,130,979.16/1,038.30
  6. Step 6: Final answer
    x = 1,089.26

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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.