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Finding the Fourth Proportional to 1,712.09, 2,568.28 and 479.49

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Solution

The fourth proportional to 1,712.09, 2,568.28 and 479.49 is: 719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.09 : 2,568.28 = 479.49 : x
  2. Step 2: Convert to fraction form
    1,712.09/2,568.28 = 479.49/x
  3. Step 3: Cross multiply
    1,712.09x = 2,568.28 × 479.49
  4. Step 4: Simplify right side
    1,712.09x = 1,231,477.66
  5. Step 5: Solve for x
    x = 1,231,477.66/1,712.09
  6. Step 6: Final answer
    x = 719.28

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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.