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Finding the Fourth Proportional to 856.25, 1,282.80 and 764.01

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Solution

The fourth proportional to 856.25, 1,282.80 and 764.01 is: 1,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.25 : 1,282.80 = 764.01 : x
  2. Step 2: Convert to fraction form
    856.25/1,282.80 = 764.01/x
  3. Step 3: Cross multiply
    856.25x = 1,282.80 × 764.01
  4. Step 4: Simplify right side
    856.25x = 980,072.03
  5. Step 5: Solve for x
    x = 980,072.03/856.25
  6. Step 6: Final answer
    x = 1,144.61

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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.