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Finding the Fourth Proportional to 1,950.39, 2,925.42 and 489.54

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Solution

The fourth proportional to 1,950.39, 2,925.42 and 489.54 is: 734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.39 : 2,925.42 = 489.54 : x
  2. Step 2: Convert to fraction form
    1,950.39/2,925.42 = 489.54/x
  3. Step 3: Cross multiply
    1,950.39x = 2,925.42 × 489.54
  4. Step 4: Simplify right side
    1,950.39x = 1,432,110.11
  5. Step 5: Solve for x
    x = 1,432,110.11/1,950.39
  6. Step 6: Final answer
    x = 734.27

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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.