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Finding the Fourth Proportional to 1,300.44, 1,950.71 and 326.57

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Solution

The fourth proportional to 1,300.44, 1,950.71 and 326.57 is: 489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.44 : 1,950.71 = 326.57 : x
  2. Step 2: Convert to fraction form
    1,300.44/1,950.71 = 326.57/x
  3. Step 3: Cross multiply
    1,300.44x = 1,950.71 × 326.57
  4. Step 4: Simplify right side
    1,300.44x = 637,031.98
  5. Step 5: Solve for x
    x = 637,031.98/1,300.44
  6. Step 6: Final answer
    x = 489.86

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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.