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Finding the Fourth Proportional to 941.94, 1,299.90 and 516.59

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Solution

The fourth proportional to 941.94, 1,299.90 and 516.59 is: 712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.94 : 1,299.90 = 516.59 : x
  2. Step 2: Convert to fraction form
    941.94/1,299.90 = 516.59/x
  3. Step 3: Cross multiply
    941.94x = 1,299.90 × 516.59
  4. Step 4: Simplify right side
    941.94x = 671,515.34
  5. Step 5: Solve for x
    x = 671,515.34/941.94
  6. Step 6: Final answer
    x = 712.91

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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.