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Finding the Fourth Proportional to 1,269.65, 1,904.85 and 489.71

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Solution

The fourth proportional to 1,269.65, 1,904.85 and 489.71 is: 734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.65 : 1,904.85 = 489.71 : x
  2. Step 2: Convert to fraction form
    1,269.65/1,904.85 = 489.71/x
  3. Step 3: Cross multiply
    1,269.65x = 1,904.85 × 489.71
  4. Step 4: Simplify right side
    1,269.65x = 932,828.86
  5. Step 5: Solve for x
    x = 932,828.86/1,269.65
  6. Step 6: Final answer
    x = 734.71

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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.