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Finding the Fourth Proportional to 1,708.67, 2,563.14 and 842.51

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Solution

The fourth proportional to 1,708.67, 2,563.14 and 842.51 is: 1,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.67 : 2,563.14 = 842.51 : x
  2. Step 2: Convert to fraction form
    1,708.67/2,563.14 = 842.51/x
  3. Step 3: Cross multiply
    1,708.67x = 2,563.14 × 842.51
  4. Step 4: Simplify right side
    1,708.67x = 2,159,471.08
  5. Step 5: Solve for x
    x = 2,159,471.08/1,708.67
  6. Step 6: Final answer
    x = 1,263.83

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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.