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Finding the Fourth Proportional to 1,713.12, 2,568.88 and 617.34

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Solution

The fourth proportional to 1,713.12, 2,568.88 and 617.34 is: 925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.12 : 2,568.88 = 617.34 : x
  2. Step 2: Convert to fraction form
    1,713.12/2,568.88 = 617.34/x
  3. Step 3: Cross multiply
    1,713.12x = 2,568.88 × 617.34
  4. Step 4: Simplify right side
    1,713.12x = 1,585,862.87
  5. Step 5: Solve for x
    x = 1,585,862.87/1,713.12
  6. Step 6: Final answer
    x = 925.72

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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.