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Finding the Fourth Proportional to 541.40, 743.24 and 467.60

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Solution

The fourth proportional to 541.40, 743.24 and 467.60 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 743.24 = 467.60 : x
  2. Step 2: Convert to fraction form
    541.40/743.24 = 467.60/x
  3. Step 3: Cross multiply
    541.40x = 743.24 × 467.60
  4. Step 4: Simplify right side
    541.40x = 347,539.02
  5. Step 5: Solve for x
    x = 347,539.02/541.40
  6. Step 6: Final answer
    x = 641.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.