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Finding the Fourth Proportional to 546.64, 813.77 and 543.40

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Solution

The fourth proportional to 546.64, 813.77 and 543.40 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.64 : 813.77 = 543.40 : x
  2. Step 2: Convert to fraction form
    546.64/813.77 = 543.40/x
  3. Step 3: Cross multiply
    546.64x = 813.77 × 543.40
  4. Step 4: Simplify right side
    546.64x = 442,202.62
  5. Step 5: Solve for x
    x = 442,202.62/546.64
  6. Step 6: Final answer
    x = 808.95

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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.