Home / 1,721.40-2,582.10-422.86

Finding the Fourth Proportional to 1,721.40, 2,582.10 and 422.86

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Solution

The fourth proportional to 1,721.40, 2,582.10 and 422.86 is: 634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.40 : 2,582.10 = 422.86 : x
  2. Step 2: Convert to fraction form
    1,721.40/2,582.10 = 422.86/x
  3. Step 3: Cross multiply
    1,721.40x = 2,582.10 × 422.86
  4. Step 4: Simplify right side
    1,721.40x = 1,091,866.81
  5. Step 5: Solve for x
    x = 1,091,866.81/1,721.40
  6. Step 6: Final answer
    x = 634.29

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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.