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Finding the Fourth Proportional to 1,708.62, 2,358 and 1,288.23

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Solution

The fourth proportional to 1,708.62, 2,358 and 1,288.23 is: 1,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.62 : 2,358 = 1,288.23 : x
  2. Step 2: Convert to fraction form
    1,708.62/2,358 = 1,288.23/x
  3. Step 3: Cross multiply
    1,708.62x = 2,358 × 1,288.23
  4. Step 4: Simplify right side
    1,708.62x = 3,037,634.55
  5. Step 5: Solve for x
    x = 3,037,634.55/1,708.62
  6. Step 6: Final answer
    x = 1,777.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.