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Finding the Fourth Proportional to 541.98, 812.55 and 387.81

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Solution

The fourth proportional to 541.98, 812.55 and 387.81 is: 581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.98 : 812.55 = 387.81 : x
  2. Step 2: Convert to fraction form
    541.98/812.55 = 387.81/x
  3. Step 3: Cross multiply
    541.98x = 812.55 × 387.81
  4. Step 4: Simplify right side
    541.98x = 315,115.02
  5. Step 5: Solve for x
    x = 315,115.02/541.98
  6. Step 6: Final answer
    x = 581.41

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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.