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Finding the Fourth Proportional to 564.72, 851.46 and 516.72

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Solution

The fourth proportional to 564.72, 851.46 and 516.72 is: 779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.72 : 851.46 = 516.72 : x
  2. Step 2: Convert to fraction form
    564.72/851.46 = 516.72/x
  3. Step 3: Cross multiply
    564.72x = 851.46 × 516.72
  4. Step 4: Simplify right side
    564.72x = 439,966.41
  5. Step 5: Solve for x
    x = 439,966.41/564.72
  6. Step 6: Final answer
    x = 779.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.