Home / 1,440.40-2,158.44-789.16

Finding the Fourth Proportional to 1,440.40, 2,158.44 and 789.16

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Solution

The fourth proportional to 1,440.40, 2,158.44 and 789.16 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.40 : 2,158.44 = 789.16 : x
  2. Step 2: Convert to fraction form
    1,440.40/2,158.44 = 789.16/x
  3. Step 3: Cross multiply
    1,440.40x = 2,158.44 × 789.16
  4. Step 4: Simplify right side
    1,440.40x = 1,703,354.51
  5. Step 5: Solve for x
    x = 1,703,354.51/1,440.40
  6. Step 6: Final answer
    x = 1,182.56

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1.5x scale

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.