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Finding the Fourth Proportional to 856.14, 1,287.32 and 748.68

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Solution

The fourth proportional to 856.14, 1,287.32 and 748.68 is: 1,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.14 : 1,287.32 = 748.68 : x
  2. Step 2: Convert to fraction form
    856.14/1,287.32 = 748.68/x
  3. Step 3: Cross multiply
    856.14x = 1,287.32 × 748.68
  4. Step 4: Simplify right side
    856.14x = 963,786.99
  5. Step 5: Solve for x
    x = 963,786.99/856.14
  6. Step 6: Final answer
    x = 1,125.74

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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.