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Finding the Fourth Proportional to 556.50, 836.55 and 516.42

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Solution

The fourth proportional to 556.50, 836.55 and 516.42 is: 776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.50 : 836.55 = 516.42 : x
  2. Step 2: Convert to fraction form
    556.50/836.55 = 516.42/x
  3. Step 3: Cross multiply
    556.50x = 836.55 × 516.42
  4. Step 4: Simplify right side
    556.50x = 432,011.15
  5. Step 5: Solve for x
    x = 432,011.15/556.50
  6. Step 6: Final answer
    x = 776.30

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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.