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Finding the Fourth Proportional to 541.78, 812.03 and 310.83

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Solution

The fourth proportional to 541.78, 812.03 and 310.83 is: 465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.78 : 812.03 = 310.83 : x
  2. Step 2: Convert to fraction form
    541.78/812.03 = 310.83/x
  3. Step 3: Cross multiply
    541.78x = 812.03 × 310.83
  4. Step 4: Simplify right side
    541.78x = 252,403.28
  5. Step 5: Solve for x
    x = 252,403.28/541.78
  6. Step 6: Final answer
    x = 465.88

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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.