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Finding the Fourth Proportional to 541.90, 811.64 and 325.03

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Solution

The fourth proportional to 541.90, 811.64 and 325.03 is: 486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.90 : 811.64 = 325.03 : x
  2. Step 2: Convert to fraction form
    541.90/811.64 = 325.03/x
  3. Step 3: Cross multiply
    541.90x = 811.64 × 325.03
  4. Step 4: Simplify right side
    541.90x = 263,805.72
  5. Step 5: Solve for x
    x = 263,805.72/541.90
  6. Step 6: Final answer
    x = 486.82

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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.