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Finding the Fourth Proportional to 1,703.21, 2,350.22 and 985.37

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Solution

The fourth proportional to 1,703.21, 2,350.22 and 985.37 is: 1,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.21 : 2,350.22 = 985.37 : x
  2. Step 2: Convert to fraction form
    1,703.21/2,350.22 = 985.37/x
  3. Step 3: Cross multiply
    1,703.21x = 2,350.22 × 985.37
  4. Step 4: Simplify right side
    1,703.21x = 2,315,819.60
  5. Step 5: Solve for x
    x = 2,315,819.60/1,703.21
  6. Step 6: Final answer
    x = 1,359.68

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1.5x scale

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.