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Finding the Fourth Proportional to 887.26, 1,328.84 and 856.51

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Solution

The fourth proportional to 887.26, 1,328.84 and 856.51 is: 1,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.26 : 1,328.84 = 856.51 : x
  2. Step 2: Convert to fraction form
    887.26/1,328.84 = 856.51/x
  3. Step 3: Cross multiply
    887.26x = 1,328.84 × 856.51
  4. Step 4: Simplify right side
    887.26x = 1,138,163.57
  5. Step 5: Solve for x
    x = 1,138,163.57/887.26
  6. Step 6: Final answer
    x = 1,282.78

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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.