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Finding the Fourth Proportional to 856.44, 1,278.72 and 701.98

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Solution

The fourth proportional to 856.44, 1,278.72 and 701.98 is: 1,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,278.72 = 701.98 : x
  2. Step 2: Convert to fraction form
    856.44/1,278.72 = 701.98/x
  3. Step 3: Cross multiply
    856.44x = 1,278.72 × 701.98
  4. Step 4: Simplify right side
    856.44x = 897,635.87
  5. Step 5: Solve for x
    x = 897,635.87/856.44
  6. Step 6: Final answer
    x = 1,048.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.