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Finding the Fourth Proportional to 1,006.75, 1,386.84 and 856.90

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Solution

The fourth proportional to 1,006.75, 1,386.84 and 856.90 is: 1,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.75 : 1,386.84 = 856.90 : x
  2. Step 2: Convert to fraction form
    1,006.75/1,386.84 = 856.90/x
  3. Step 3: Cross multiply
    1,006.75x = 1,386.84 × 856.90
  4. Step 4: Simplify right side
    1,006.75x = 1,188,383.20
  5. Step 5: Solve for x
    x = 1,188,383.20/1,006.75
  6. Step 6: Final answer
    x = 1,180.42

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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.