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Finding the Fourth Proportional to 1,300.51, 1,950.75 and 326.62

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Solution

The fourth proportional to 1,300.51, 1,950.75 and 326.62 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.51 : 1,950.75 = 326.62 : x
  2. Step 2: Convert to fraction form
    1,300.51/1,950.75 = 326.62/x
  3. Step 3: Cross multiply
    1,300.51x = 1,950.75 × 326.62
  4. Step 4: Simplify right side
    1,300.51x = 637,153.97
  5. Step 5: Solve for x
    x = 637,153.97/1,300.51
  6. Step 6: Final answer
    x = 489.93

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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.