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Finding the Fourth Proportional to 1,721.94, 2,582.30 and 626.02

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Solution

The fourth proportional to 1,721.94, 2,582.30 and 626.02 is: 938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.94 : 2,582.30 = 626.02 : x
  2. Step 2: Convert to fraction form
    1,721.94/2,582.30 = 626.02/x
  3. Step 3: Cross multiply
    1,721.94x = 2,582.30 × 626.02
  4. Step 4: Simplify right side
    1,721.94x = 1,616,571.45
  5. Step 5: Solve for x
    x = 1,616,571.45/1,721.94
  6. Step 6: Final answer
    x = 938.81

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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.