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Finding the Fourth Proportional to 543.40, 820.63 and 543.40

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Solution

The fourth proportional to 543.40, 820.63 and 543.40 is: 820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 820.63 = 543.40 : x
  2. Step 2: Convert to fraction form
    543.40/820.63 = 543.40/x
  3. Step 3: Cross multiply
    543.40x = 820.63 × 543.40
  4. Step 4: Simplify right side
    543.40x = 445,930.34
  5. Step 5: Solve for x
    x = 445,930.34/543.40
  6. Step 6: Final answer
    x = 820.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.