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Finding the Fourth Proportional to 1,712.89, 2,568.77 and 617

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Solution

The fourth proportional to 1,712.89, 2,568.77 and 617 is: 925.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.89 : 2,568.77 = 617 : x
  2. Step 2: Convert to fraction form
    1,712.89/2,568.77 = 617/x
  3. Step 3: Cross multiply
    1,712.89x = 2,568.77 × 617
  4. Step 4: Simplify right side
    1,712.89x = 1,584,928.01
  5. Step 5: Solve for x
    x = 1,584,928.01/1,712.89
  6. Step 6: Final answer
    x = 925.30

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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.