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Finding the Fourth Proportional to 1,036.78, 1,553.65 and 550.17

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Solution

The fourth proportional to 1,036.78, 1,553.65 and 550.17 is: 824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.78 : 1,553.65 = 550.17 : x
  2. Step 2: Convert to fraction form
    1,036.78/1,553.65 = 550.17/x
  3. Step 3: Cross multiply
    1,036.78x = 1,553.65 × 550.17
  4. Step 4: Simplify right side
    1,036.78x = 854,770.25
  5. Step 5: Solve for x
    x = 854,770.25/1,036.78
  6. Step 6: Final answer
    x = 824.45

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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.