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Finding the Fourth Proportional to 541.93, 811.26 and 490.60

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Solution

The fourth proportional to 541.93, 811.26 and 490.60 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.93 : 811.26 = 490.60 : x
  2. Step 2: Convert to fraction form
    541.93/811.26 = 490.60/x
  3. Step 3: Cross multiply
    541.93x = 811.26 × 490.60
  4. Step 4: Simplify right side
    541.93x = 398,004.16
  5. Step 5: Solve for x
    x = 398,004.16/541.93
  6. Step 6: Final answer
    x = 734.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.