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Finding the Fourth Proportional to 1,036.25, 1,553.86 and 305.63

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Solution

The fourth proportional to 1,036.25, 1,553.86 and 305.63 is: 458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.25 : 1,553.86 = 305.63 : x
  2. Step 2: Convert to fraction form
    1,036.25/1,553.86 = 305.63/x
  3. Step 3: Cross multiply
    1,036.25x = 1,553.86 × 305.63
  4. Step 4: Simplify right side
    1,036.25x = 474,906.23
  5. Step 5: Solve for x
    x = 474,906.23/1,036.25
  6. Step 6: Final answer
    x = 458.29

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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.