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Finding the Fourth Proportional to 541.14, 743.18 and 453.66

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Solution

The fourth proportional to 541.14, 743.18 and 453.66 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 743.18 = 453.66 : x
  2. Step 2: Convert to fraction form
    541.14/743.18 = 453.66/x
  3. Step 3: Cross multiply
    541.14x = 743.18 × 453.66
  4. Step 4: Simplify right side
    541.14x = 337,151.04
  5. Step 5: Solve for x
    x = 337,151.04/541.14
  6. Step 6: Final answer
    x = 623.04

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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.