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Finding the Fourth Proportional to 856.35, 1,283.07 and 660.99

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Solution

The fourth proportional to 856.35, 1,283.07 and 660.99 is: 990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.35 : 1,283.07 = 660.99 : x
  2. Step 2: Convert to fraction form
    856.35/1,283.07 = 660.99/x
  3. Step 3: Cross multiply
    856.35x = 1,283.07 × 660.99
  4. Step 4: Simplify right side
    856.35x = 848,096.44
  5. Step 5: Solve for x
    x = 848,096.44/856.35
  6. Step 6: Final answer
    x = 990.36

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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.