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Finding the Fourth Proportional to 863.37, 1,190.42 and 705.42

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Solution

The fourth proportional to 863.37, 1,190.42 and 705.42 is: 972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.37 : 1,190.42 = 705.42 : x
  2. Step 2: Convert to fraction form
    863.37/1,190.42 = 705.42/x
  3. Step 3: Cross multiply
    863.37x = 1,190.42 × 705.42
  4. Step 4: Simplify right side
    863.37x = 839,746.08
  5. Step 5: Solve for x
    x = 839,746.08/863.37
  6. Step 6: Final answer
    x = 972.64

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Double scale
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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.