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Finding the Fourth Proportional to 1,036.84, 1,553.48 and 728.12

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Solution

The fourth proportional to 1,036.84, 1,553.48 and 728.12 is: 1,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.84 : 1,553.48 = 728.12 : x
  2. Step 2: Convert to fraction form
    1,036.84/1,553.48 = 728.12/x
  3. Step 3: Cross multiply
    1,036.84x = 1,553.48 × 728.12
  4. Step 4: Simplify right side
    1,036.84x = 1,131,119.86
  5. Step 5: Solve for x
    x = 1,131,119.86/1,036.84
  6. Step 6: Final answer
    x = 1,090.93

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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.