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Finding the Fourth Proportional to 856.18, 1,283.55 and 746.22

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Solution

The fourth proportional to 856.18, 1,283.55 and 746.22 is: 1,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.18 : 1,283.55 = 746.22 : x
  2. Step 2: Convert to fraction form
    856.18/1,283.55 = 746.22/x
  3. Step 3: Cross multiply
    856.18x = 1,283.55 × 746.22
  4. Step 4: Simplify right side
    856.18x = 957,809.67
  5. Step 5: Solve for x
    x = 957,809.67/856.18
  6. Step 6: Final answer
    x = 1,118.71

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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.