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Finding the Fourth Proportional to 546.03, 752.94 and 388.68

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Solution

The fourth proportional to 546.03, 752.94 and 388.68 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.03 : 752.94 = 388.68 : x
  2. Step 2: Convert to fraction form
    546.03/752.94 = 388.68/x
  3. Step 3: Cross multiply
    546.03x = 752.94 × 388.68
  4. Step 4: Simplify right side
    546.03x = 292,652.72
  5. Step 5: Solve for x
    x = 292,652.72/546.03
  6. Step 6: Final answer
    x = 535.96

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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.