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Finding the Fourth Proportional to 867.34, 1,196.84 and 494.37

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Solution

The fourth proportional to 867.34, 1,196.84 and 494.37 is: 682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.34 : 1,196.84 = 494.37 : x
  2. Step 2: Convert to fraction form
    867.34/1,196.84 = 494.37/x
  3. Step 3: Cross multiply
    867.34x = 1,196.84 × 494.37
  4. Step 4: Simplify right side
    867.34x = 591,683.03
  5. Step 5: Solve for x
    x = 591,683.03/867.34
  6. Step 6: Final answer
    x = 682.18

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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.