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Finding the Fourth Proportional to 1,744.79, 2,617.20 and 446.21

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Solution

The fourth proportional to 1,744.79, 2,617.20 and 446.21 is: 669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.79 : 2,617.20 = 446.21 : x
  2. Step 2: Convert to fraction form
    1,744.79/2,617.20 = 446.21/x
  3. Step 3: Cross multiply
    1,744.79x = 2,617.20 × 446.21
  4. Step 4: Simplify right side
    1,744.79x = 1,167,820.81
  5. Step 5: Solve for x
    x = 1,167,820.81/1,744.79
  6. Step 6: Final answer
    x = 669.32

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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.