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Finding the Fourth Proportional to 863.93, 1,192.23 and 490.90

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Solution

The fourth proportional to 863.93, 1,192.23 and 490.90 is: 677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.93 : 1,192.23 = 490.90 : x
  2. Step 2: Convert to fraction form
    863.93/1,192.23 = 490.90/x
  3. Step 3: Cross multiply
    863.93x = 1,192.23 × 490.90
  4. Step 4: Simplify right side
    863.93x = 585,265.71
  5. Step 5: Solve for x
    x = 585,265.71/863.93
  6. Step 6: Final answer
    x = 677.45

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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.