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Finding the Fourth Proportional to 856.41, 1,283.90 and 746.45

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Solution

The fourth proportional to 856.41, 1,283.90 and 746.45 is: 1,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,283.90 = 746.45 : x
  2. Step 2: Convert to fraction form
    856.41/1,283.90 = 746.45/x
  3. Step 3: Cross multiply
    856.41x = 1,283.90 × 746.45
  4. Step 4: Simplify right side
    856.41x = 958,372.23
  5. Step 5: Solve for x
    x = 958,372.23/856.41
  6. Step 6: Final answer
    x = 1,119.06

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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.