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Finding the Fourth Proportional to 528.39, 788.57 and 516.11

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Solution

The fourth proportional to 528.39, 788.57 and 516.11 is: 770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.39 : 788.57 = 516.11 : x
  2. Step 2: Convert to fraction form
    528.39/788.57 = 516.11/x
  3. Step 3: Cross multiply
    528.39x = 788.57 × 516.11
  4. Step 4: Simplify right side
    528.39x = 406,982.34
  5. Step 5: Solve for x
    x = 406,982.34/528.39
  6. Step 6: Final answer
    x = 770.23

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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.