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Finding the Fourth Proportional to 516.30, 713.12 and 385.89

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Solution

The fourth proportional to 516.30, 713.12 and 385.89 is: 533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.30 : 713.12 = 385.89 : x
  2. Step 2: Convert to fraction form
    516.30/713.12 = 385.89/x
  3. Step 3: Cross multiply
    516.30x = 713.12 × 385.89
  4. Step 4: Simplify right side
    516.30x = 275,183.28
  5. Step 5: Solve for x
    x = 275,183.28/516.30
  6. Step 6: Final answer
    x = 533.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.