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Finding the Fourth Proportional to 1,302.98, 1,952.73 and 480.49

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Solution

The fourth proportional to 1,302.98, 1,952.73 and 480.49 is: 720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.98 : 1,952.73 = 480.49 : x
  2. Step 2: Convert to fraction form
    1,302.98/1,952.73 = 480.49/x
  3. Step 3: Cross multiply
    1,302.98x = 1,952.73 × 480.49
  4. Step 4: Simplify right side
    1,302.98x = 938,262.36
  5. Step 5: Solve for x
    x = 938,262.36/1,302.98
  6. Step 6: Final answer
    x = 720.09

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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.