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Finding the Fourth Proportional to 546.35, 816.28 and 541.49

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Solution

The fourth proportional to 546.35, 816.28 and 541.49 is: 809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.35 : 816.28 = 541.49 : x
  2. Step 2: Convert to fraction form
    546.35/816.28 = 541.49/x
  3. Step 3: Cross multiply
    546.35x = 816.28 × 541.49
  4. Step 4: Simplify right side
    546.35x = 442,002.02
  5. Step 5: Solve for x
    x = 442,002.02/546.35
  6. Step 6: Final answer
    x = 809.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.