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Finding the Fourth Proportional to 546.68, 813.83 and 543.43

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Solution

The fourth proportional to 546.68, 813.83 and 543.43 is: 808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.68 : 813.83 = 543.43 : x
  2. Step 2: Convert to fraction form
    546.68/813.83 = 543.43/x
  3. Step 3: Cross multiply
    546.68x = 813.83 × 543.43
  4. Step 4: Simplify right side
    546.68x = 442,259.64
  5. Step 5: Solve for x
    x = 442,259.64/546.68
  6. Step 6: Final answer
    x = 808.99

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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.