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Finding the Fourth Proportional to 541.36, 810.48 and 459.52

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Solution

The fourth proportional to 541.36, 810.48 and 459.52 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.36 : 810.48 = 459.52 : x
  2. Step 2: Convert to fraction form
    541.36/810.48 = 459.52/x
  3. Step 3: Cross multiply
    541.36x = 810.48 × 459.52
  4. Step 4: Simplify right side
    541.36x = 372,431.77
  5. Step 5: Solve for x
    x = 372,431.77/541.36
  6. Step 6: Final answer
    x = 687.96

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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.