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Finding the Fourth Proportional to 541.43, 810.32 and 325.16

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Solution

The fourth proportional to 541.43, 810.32 and 325.16 is: 486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.43 : 810.32 = 325.16 : x
  2. Step 2: Convert to fraction form
    541.43/810.32 = 325.16/x
  3. Step 3: Cross multiply
    541.43x = 810.32 × 325.16
  4. Step 4: Simplify right side
    541.43x = 263,486.49
  5. Step 5: Solve for x
    x = 263,486.49/541.43
  6. Step 6: Final answer
    x = 486.65

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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.