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Finding the Fourth Proportional to 542.94, 749.38 and 385.80

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Solution

The fourth proportional to 542.94, 749.38 and 385.80 is: 532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.94 : 749.38 = 385.80 : x
  2. Step 2: Convert to fraction form
    542.94/749.38 = 385.80/x
  3. Step 3: Cross multiply
    542.94x = 749.38 × 385.80
  4. Step 4: Simplify right side
    542.94x = 289,110.80
  5. Step 5: Solve for x
    x = 289,110.80/542.94
  6. Step 6: Final answer
    x = 532.49

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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.