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Finding the Fourth Proportional to 1,721.72, 2,584.08 and 889.35

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Solution

The fourth proportional to 1,721.72, 2,584.08 and 889.35 is: 1,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.72 : 2,584.08 = 889.35 : x
  2. Step 2: Convert to fraction form
    1,721.72/2,584.08 = 889.35/x
  3. Step 3: Cross multiply
    1,721.72x = 2,584.08 × 889.35
  4. Step 4: Simplify right side
    1,721.72x = 2,298,151.55
  5. Step 5: Solve for x
    x = 2,298,151.55/1,721.72
  6. Step 6: Final answer
    x = 1,334.80

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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.