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Finding the Fourth Proportional to 541.70, 812.76 and 233.63

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Solution

The fourth proportional to 541.70, 812.76 and 233.63 is: 350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.70 : 812.76 = 233.63 : x
  2. Step 2: Convert to fraction form
    541.70/812.76 = 233.63/x
  3. Step 3: Cross multiply
    541.70x = 812.76 × 233.63
  4. Step 4: Simplify right side
    541.70x = 189,885.12
  5. Step 5: Solve for x
    x = 189,885.12/541.70
  6. Step 6: Final answer
    x = 350.54

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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.