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Finding the Fourth Proportional to 516.29, 774.90 and 461.36

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Solution

The fourth proportional to 516.29, 774.90 and 461.36 is: 692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.29 : 774.90 = 461.36 : x
  2. Step 2: Convert to fraction form
    516.29/774.90 = 461.36/x
  3. Step 3: Cross multiply
    516.29x = 774.90 × 461.36
  4. Step 4: Simplify right side
    516.29x = 357,507.86
  5. Step 5: Solve for x
    x = 357,507.86/516.29
  6. Step 6: Final answer
    x = 692.46

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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.