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Finding the Fourth Proportional to 939.03, 1,295.86 and 513.66

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Solution

The fourth proportional to 939.03, 1,295.86 and 513.66 is: 708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.03 : 1,295.86 = 513.66 : x
  2. Step 2: Convert to fraction form
    939.03/1,295.86 = 513.66/x
  3. Step 3: Cross multiply
    939.03x = 1,295.86 × 513.66
  4. Step 4: Simplify right side
    939.03x = 665,631.45
  5. Step 5: Solve for x
    x = 665,631.45/939.03
  6. Step 6: Final answer
    x = 708.85

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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.