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Finding the Fourth Proportional to 1,721.78, 2,582.70 and 626.93

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Solution

The fourth proportional to 1,721.78, 2,582.70 and 626.93 is: 940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.78 : 2,582.70 = 626.93 : x
  2. Step 2: Convert to fraction form
    1,721.78/2,582.70 = 626.93/x
  3. Step 3: Cross multiply
    1,721.78x = 2,582.70 × 626.93
  4. Step 4: Simplify right side
    1,721.78x = 1,619,172.11
  5. Step 5: Solve for x
    x = 1,619,172.11/1,721.78
  6. Step 6: Final answer
    x = 940.41

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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.