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Finding the Fourth Proportional to 530.80, 789.62 and 516.76

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Solution

The fourth proportional to 530.80, 789.62 and 516.76 is: 768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.80 : 789.62 = 516.76 : x
  2. Step 2: Convert to fraction form
    530.80/789.62 = 516.76/x
  3. Step 3: Cross multiply
    530.80x = 789.62 × 516.76
  4. Step 4: Simplify right side
    530.80x = 408,044.03
  5. Step 5: Solve for x
    x = 408,044.03/530.80
  6. Step 6: Final answer
    x = 768.73

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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.