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Finding the Fourth Proportional to 1,382.32, 1,906.84 and 858.24

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Solution

The fourth proportional to 1,382.32, 1,906.84 and 858.24 is: 1,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.32 : 1,906.84 = 858.24 : x
  2. Step 2: Convert to fraction form
    1,382.32/1,906.84 = 858.24/x
  3. Step 3: Cross multiply
    1,382.32x = 1,906.84 × 858.24
  4. Step 4: Simplify right side
    1,382.32x = 1,636,526.36
  5. Step 5: Solve for x
    x = 1,636,526.36/1,382.32
  6. Step 6: Final answer
    x = 1,183.90

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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.