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Finding the Fourth Proportional to 1,302.78, 1,953.82 and 480.94

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Solution

The fourth proportional to 1,302.78, 1,953.82 and 480.94 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.78 : 1,953.82 = 480.94 : x
  2. Step 2: Convert to fraction form
    1,302.78/1,953.82 = 480.94/x
  3. Step 3: Cross multiply
    1,302.78x = 1,953.82 × 480.94
  4. Step 4: Simplify right side
    1,302.78x = 939,665.91
  5. Step 5: Solve for x
    x = 939,665.91/1,302.78
  6. Step 6: Final answer
    x = 721.28

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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.