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Finding the Fourth Proportional to 575.45, 864.24 and 516.00

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Solution

The fourth proportional to 575.45, 864.24 and 516.00 is: 774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.45 : 864.24 = 516.00 : x
  2. Step 2: Convert to fraction form
    575.45/864.24 = 516.00/x
  3. Step 3: Cross multiply
    575.45x = 864.24 × 516.00
  4. Step 4: Simplify right side
    575.45x = 445,946.21
  5. Step 5: Solve for x
    x = 445,946.21/575.45
  6. Step 6: Final answer
    x = 774.95

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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.