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Finding the Fourth Proportional to 541.03, 812.08 and 420.61

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Solution

The fourth proportional to 541.03, 812.08 and 420.61 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.03 : 812.08 = 420.61 : x
  2. Step 2: Convert to fraction form
    541.03/812.08 = 420.61/x
  3. Step 3: Cross multiply
    541.03x = 812.08 × 420.61
  4. Step 4: Simplify right side
    541.03x = 341,568.97
  5. Step 5: Solve for x
    x = 341,568.97/541.03
  6. Step 6: Final answer
    x = 631.33

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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.