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Finding the Fourth Proportional to 856.80, 1,287.44 and 733.76

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Solution

The fourth proportional to 856.80, 1,287.44 and 733.76 is: 1,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.80 : 1,287.44 = 733.76 : x
  2. Step 2: Convert to fraction form
    856.80/1,287.44 = 733.76/x
  3. Step 3: Cross multiply
    856.80x = 1,287.44 × 733.76
  4. Step 4: Simplify right side
    856.80x = 944,671.97
  5. Step 5: Solve for x
    x = 944,671.97/856.80
  6. Step 6: Final answer
    x = 1,102.56

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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.