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Finding the Fourth Proportional to 1,703.57, 2,555.50 and 663.64

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Solution

The fourth proportional to 1,703.57, 2,555.50 and 663.64 is: 995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.57 : 2,555.50 = 663.64 : x
  2. Step 2: Convert to fraction form
    1,703.57/2,555.50 = 663.64/x
  3. Step 3: Cross multiply
    1,703.57x = 2,555.50 × 663.64
  4. Step 4: Simplify right side
    1,703.57x = 1,695,939.59
  5. Step 5: Solve for x
    x = 1,695,939.59/1,703.57
  6. Step 6: Final answer
    x = 995.52

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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.