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Finding the Fourth Proportional to 860.44, 1,288.88 and 713.85

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Solution

The fourth proportional to 860.44, 1,288.88 and 713.85 is: 1,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.44 : 1,288.88 = 713.85 : x
  2. Step 2: Convert to fraction form
    860.44/1,288.88 = 713.85/x
  3. Step 3: Cross multiply
    860.44x = 1,288.88 × 713.85
  4. Step 4: Simplify right side
    860.44x = 920,061.26
  5. Step 5: Solve for x
    x = 920,061.26/860.44
  6. Step 6: Final answer
    x = 1,069.29

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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.