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Finding the Fourth Proportional to 546.35, 818.38 and 409.21

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Solution

The fourth proportional to 546.35, 818.38 and 409.21 is: 612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.35 : 818.38 = 409.21 : x
  2. Step 2: Convert to fraction form
    546.35/818.38 = 409.21/x
  3. Step 3: Cross multiply
    546.35x = 818.38 × 409.21
  4. Step 4: Simplify right side
    546.35x = 334,886.21
  5. Step 5: Solve for x
    x = 334,886.21/546.35
  6. Step 6: Final answer
    x = 612.95

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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.