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Finding the Fourth Proportional to 516.57, 771.10 and 478.50

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Solution

The fourth proportional to 516.57, 771.10 and 478.50 is: 714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 771.10 = 478.50 : x
  2. Step 2: Convert to fraction form
    516.57/771.10 = 478.50/x
  3. Step 3: Cross multiply
    516.57x = 771.10 × 478.50
  4. Step 4: Simplify right side
    516.57x = 368,971.35
  5. Step 5: Solve for x
    x = 368,971.35/516.57
  6. Step 6: Final answer
    x = 714.27

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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.