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Finding the Fourth Proportional to 863.21, 1,191.12 and 490.19

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Solution

The fourth proportional to 863.21, 1,191.12 and 490.19 is: 676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.21 : 1,191.12 = 490.19 : x
  2. Step 2: Convert to fraction form
    863.21/1,191.12 = 490.19/x
  3. Step 3: Cross multiply
    863.21x = 1,191.12 × 490.19
  4. Step 4: Simplify right side
    863.21x = 583,869.16
  5. Step 5: Solve for x
    x = 583,869.16/863.21
  6. Step 6: Final answer
    x = 676.40

Related Problems

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Half scale
Find fourth proportional to 1,726.41, 2,382.24 and 980.37
Double scale
Find fourth proportional to 864.21, 1,192.50 and 491.19
Similar ratio
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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.