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Finding the Fourth Proportional to 1,219.68, 1,829.86 and 489.77

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Solution

The fourth proportional to 1,219.68, 1,829.86 and 489.77 is: 734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.68 : 1,829.86 = 489.77 : x
  2. Step 2: Convert to fraction form
    1,219.68/1,829.86 = 489.77/x
  3. Step 3: Cross multiply
    1,219.68x = 1,829.86 × 489.77
  4. Step 4: Simplify right side
    1,219.68x = 896,206.26
  5. Step 5: Solve for x
    x = 896,206.26/1,219.68
  6. Step 6: Final answer
    x = 734.79

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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.