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Finding the Fourth Proportional to 1,603.34, 2,403.90 and 629.54

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Solution

The fourth proportional to 1,603.34, 2,403.90 and 629.54 is: 943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.34 : 2,403.90 = 629.54 : x
  2. Step 2: Convert to fraction form
    1,603.34/2,403.90 = 629.54/x
  3. Step 3: Cross multiply
    1,603.34x = 2,403.90 × 629.54
  4. Step 4: Simplify right side
    1,603.34x = 1,513,351.21
  5. Step 5: Solve for x
    x = 1,513,351.21/1,603.34
  6. Step 6: Final answer
    x = 943.87

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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.