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Finding the Fourth Proportional to 859.96, 1,288.32 and 856.72

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Solution

The fourth proportional to 859.96, 1,288.32 and 856.72 is: 1,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.96 : 1,288.32 = 856.72 : x
  2. Step 2: Convert to fraction form
    859.96/1,288.32 = 856.72/x
  3. Step 3: Cross multiply
    859.96x = 1,288.32 × 856.72
  4. Step 4: Simplify right side
    859.96x = 1,103,729.51
  5. Step 5: Solve for x
    x = 1,103,729.51/859.96
  6. Step 6: Final answer
    x = 1,283.47

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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.