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Finding the Fourth Proportional to 821.81, 1,135.04 and 559.37

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Solution

The fourth proportional to 821.81, 1,135.04 and 559.37 is: 772.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.81 : 1,135.04 = 559.37 : x
  2. Step 2: Convert to fraction form
    821.81/1,135.04 = 559.37/x
  3. Step 3: Cross multiply
    821.81x = 1,135.04 × 559.37
  4. Step 4: Simplify right side
    821.81x = 634,907.37
  5. Step 5: Solve for x
    x = 634,907.37/821.81
  6. Step 6: Final answer
    x = 772.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.