Home / 1,182.24-1,630.32-789.12

Finding the Fourth Proportional to 1,182.24, 1,630.32 and 789.12

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Solution

The fourth proportional to 1,182.24, 1,630.32 and 789.12 is: 1,088.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.24 : 1,630.32 = 789.12 : x
  2. Step 2: Convert to fraction form
    1,182.24/1,630.32 = 789.12/x
  3. Step 3: Cross multiply
    1,182.24x = 1,630.32 × 789.12
  4. Step 4: Simplify right side
    1,182.24x = 1,286,518.12
  5. Step 5: Solve for x
    x = 1,286,518.12/1,182.24
  6. Step 6: Final answer
    x = 1,088.20

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1.5x scale

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.