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Finding the Fourth Proportional to 1,310.33, 1,965.50 and 336.43

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Solution

The fourth proportional to 1,310.33, 1,965.50 and 336.43 is: 504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.33 : 1,965.50 = 336.43 : x
  2. Step 2: Convert to fraction form
    1,310.33/1,965.50 = 336.43/x
  3. Step 3: Cross multiply
    1,310.33x = 1,965.50 × 336.43
  4. Step 4: Simplify right side
    1,310.33x = 661,253.94
  5. Step 5: Solve for x
    x = 661,253.94/1,310.33
  6. Step 6: Final answer
    x = 504.65

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Double scale
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1.5x scale

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.