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Finding the Fourth Proportional to 821.32, 1,232.30 and 496.69

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Solution

The fourth proportional to 821.32, 1,232.30 and 496.69 is: 745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.32 : 1,232.30 = 496.69 : x
  2. Step 2: Convert to fraction form
    821.32/1,232.30 = 496.69/x
  3. Step 3: Cross multiply
    821.32x = 1,232.30 × 496.69
  4. Step 4: Simplify right side
    821.32x = 612,068.60
  5. Step 5: Solve for x
    x = 612,068.60/821.32
  6. Step 6: Final answer
    x = 745.23

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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.