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Finding the Fourth Proportional to 543.56, 749.94 and 368.84

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Solution

The fourth proportional to 543.56, 749.94 and 368.84 is: 508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 749.94 = 368.84 : x
  2. Step 2: Convert to fraction form
    543.56/749.94 = 368.84/x
  3. Step 3: Cross multiply
    543.56x = 749.94 × 368.84
  4. Step 4: Simplify right side
    543.56x = 276,607.87
  5. Step 5: Solve for x
    x = 276,607.87/543.56
  6. Step 6: Final answer
    x = 508.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.