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Finding the Fourth Proportional to 543.02, 808.97 and 516.90

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Solution

The fourth proportional to 543.02, 808.97 and 516.90 is: 770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.02 : 808.97 = 516.90 : x
  2. Step 2: Convert to fraction form
    543.02/808.97 = 516.90/x
  3. Step 3: Cross multiply
    543.02x = 808.97 × 516.90
  4. Step 4: Simplify right side
    543.02x = 418,156.59
  5. Step 5: Solve for x
    x = 418,156.59/543.02
  6. Step 6: Final answer
    x = 770.06

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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.