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Finding the Fourth Proportional to 1,703.23, 2,554.81 and 663.05

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Solution

The fourth proportional to 1,703.23, 2,554.81 and 663.05 is: 994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.23 : 2,554.81 = 663.05 : x
  2. Step 2: Convert to fraction form
    1,703.23/2,554.81 = 663.05/x
  3. Step 3: Cross multiply
    1,703.23x = 2,554.81 × 663.05
  4. Step 4: Simplify right side
    1,703.23x = 1,693,971.50
  5. Step 5: Solve for x
    x = 1,693,971.50/1,703.23
  6. Step 6: Final answer
    x = 994.57

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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.