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Finding the Fourth Proportional to 1,713.57, 2,569.74 and 617.64

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Solution

The fourth proportional to 1,713.57, 2,569.74 and 617.64 is: 926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.57 : 2,569.74 = 617.64 : x
  2. Step 2: Convert to fraction form
    1,713.57/2,569.74 = 617.64/x
  3. Step 3: Cross multiply
    1,713.57x = 2,569.74 × 617.64
  4. Step 4: Simplify right side
    1,713.57x = 1,587,171.13
  5. Step 5: Solve for x
    x = 1,587,171.13/1,713.57
  6. Step 6: Final answer
    x = 926.24

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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.