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Finding the Fourth Proportional to 856.44, 1,281.78 and 701.88

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Solution

The fourth proportional to 856.44, 1,281.78 and 701.88 is: 1,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,281.78 = 701.88 : x
  2. Step 2: Convert to fraction form
    856.44/1,281.78 = 701.88/x
  3. Step 3: Cross multiply
    856.44x = 1,281.78 × 701.88
  4. Step 4: Simplify right side
    856.44x = 899,655.75
  5. Step 5: Solve for x
    x = 899,655.75/856.44
  6. Step 6: Final answer
    x = 1,050.46

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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.