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Finding the Fourth Proportional to 863.98, 1,190.45 and 712.91

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Solution

The fourth proportional to 863.98, 1,190.45 and 712.91 is: 982.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,190.45 = 712.91 : x
  2. Step 2: Convert to fraction form
    863.98/1,190.45 = 712.91/x
  3. Step 3: Cross multiply
    863.98x = 1,190.45 × 712.91
  4. Step 4: Simplify right side
    863.98x = 848,688.47
  5. Step 5: Solve for x
    x = 848,688.47/863.98
  6. Step 6: Final answer
    x = 982.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.