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Finding the Fourth Proportional to 516.85, 774.37 and 430.74

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Solution

The fourth proportional to 516.85, 774.37 and 430.74 is: 645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.85 : 774.37 = 430.74 : x
  2. Step 2: Convert to fraction form
    516.85/774.37 = 430.74/x
  3. Step 3: Cross multiply
    516.85x = 774.37 × 430.74
  4. Step 4: Simplify right side
    516.85x = 333,552.13
  5. Step 5: Solve for x
    x = 333,552.13/516.85
  6. Step 6: Final answer
    x = 645.36

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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.