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Finding the Fourth Proportional to 856.84, 1,283.91 and 662.32

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Solution

The fourth proportional to 856.84, 1,283.91 and 662.32 is: 992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.84 : 1,283.91 = 662.32 : x
  2. Step 2: Convert to fraction form
    856.84/1,283.91 = 662.32/x
  3. Step 3: Cross multiply
    856.84x = 1,283.91 × 662.32
  4. Step 4: Simplify right side
    856.84x = 850,353.98
  5. Step 5: Solve for x
    x = 850,353.98/856.84
  6. Step 6: Final answer
    x = 992.43

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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.