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Finding the Fourth Proportional to 1,716.28, 2,574.21 and 546.28

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Solution

The fourth proportional to 1,716.28, 2,574.21 and 546.28 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.28 : 2,574.21 = 546.28 : x
  2. Step 2: Convert to fraction form
    1,716.28/2,574.21 = 546.28/x
  3. Step 3: Cross multiply
    1,716.28x = 2,574.21 × 546.28
  4. Step 4: Simplify right side
    1,716.28x = 1,406,226.57
  5. Step 5: Solve for x
    x = 1,406,226.57/1,716.28
  6. Step 6: Final answer
    x = 819.35

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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.