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Finding the Fourth Proportional to 1,722.20, 2,587.97 and 901.08

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Solution

The fourth proportional to 1,722.20, 2,587.97 and 901.08 is: 1,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.20 : 2,587.97 = 901.08 : x
  2. Step 2: Convert to fraction form
    1,722.20/2,587.97 = 901.08/x
  3. Step 3: Cross multiply
    1,722.20x = 2,587.97 × 901.08
  4. Step 4: Simplify right side
    1,722.20x = 2,331,963.50
  5. Step 5: Solve for x
    x = 2,331,963.50/1,722.20
  6. Step 6: Final answer
    x = 1,354.06

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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.