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Finding the Fourth Proportional to 1,716.10, 2,574.61 and 728.96

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Solution

The fourth proportional to 1,716.10, 2,574.61 and 728.96 is: 1,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.10 : 2,574.61 = 728.96 : x
  2. Step 2: Convert to fraction form
    1,716.10/2,574.61 = 728.96/x
  3. Step 3: Cross multiply
    1,716.10x = 2,574.61 × 728.96
  4. Step 4: Simplify right side
    1,716.10x = 1,876,795.47
  5. Step 5: Solve for x
    x = 1,876,795.47/1,716.10
  6. Step 6: Final answer
    x = 1,093.64

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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.