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Finding the Fourth Proportional to 1,208.94, 1,809.77 and 856.29

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Solution

The fourth proportional to 1,208.94, 1,809.77 and 856.29 is: 1,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.94 : 1,809.77 = 856.29 : x
  2. Step 2: Convert to fraction form
    1,208.94/1,809.77 = 856.29/x
  3. Step 3: Cross multiply
    1,208.94x = 1,809.77 × 856.29
  4. Step 4: Simplify right side
    1,208.94x = 1,549,683.67
  5. Step 5: Solve for x
    x = 1,549,683.67/1,208.94
  6. Step 6: Final answer
    x = 1,281.85

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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.