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Finding the Fourth Proportional to 1,721.62, 2,582.04 and 489.00

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Solution

The fourth proportional to 1,721.62, 2,582.04 and 489.00 is: 733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.62 : 2,582.04 = 489.00 : x
  2. Step 2: Convert to fraction form
    1,721.62/2,582.04 = 489.00/x
  3. Step 3: Cross multiply
    1,721.62x = 2,582.04 × 489.00
  4. Step 4: Simplify right side
    1,721.62x = 1,262,629.08
  5. Step 5: Solve for x
    x = 1,262,629.08/1,721.62
  6. Step 6: Final answer
    x = 733.40

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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.