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Finding the Fourth Proportional to 1,703.55, 2,553.96 and 663.03

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Solution

The fourth proportional to 1,703.55, 2,553.96 and 663.03 is: 994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.55 : 2,553.96 = 663.03 : x
  2. Step 2: Convert to fraction form
    1,703.55/2,553.96 = 663.03/x
  3. Step 3: Cross multiply
    1,703.55x = 2,553.96 × 663.03
  4. Step 4: Simplify right side
    1,703.55x = 1,693,352.10
  5. Step 5: Solve for x
    x = 1,693,352.10/1,703.55
  6. Step 6: Final answer
    x = 994.01

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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.