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Finding the Fourth Proportional to 856.36, 1,283.43 and 746.20

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Solution

The fourth proportional to 856.36, 1,283.43 and 746.20 is: 1,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.36 : 1,283.43 = 746.20 : x
  2. Step 2: Convert to fraction form
    856.36/1,283.43 = 746.20/x
  3. Step 3: Cross multiply
    856.36x = 1,283.43 × 746.20
  4. Step 4: Simplify right side
    856.36x = 957,695.47
  5. Step 5: Solve for x
    x = 957,695.47/856.36
  6. Step 6: Final answer
    x = 1,118.33

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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.