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Finding the Fourth Proportional to 543.40, 816.72 and 516.40

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Solution

The fourth proportional to 543.40, 816.72 and 516.40 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 816.72 = 516.40 : x
  2. Step 2: Convert to fraction form
    543.40/816.72 = 516.40/x
  3. Step 3: Cross multiply
    543.40x = 816.72 × 516.40
  4. Step 4: Simplify right side
    543.40x = 421,754.21
  5. Step 5: Solve for x
    x = 421,754.21/543.40
  6. Step 6: Final answer
    x = 776.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.