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Finding the Fourth Proportional to 821.77, 1,232.35 and 492.21

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Solution

The fourth proportional to 821.77, 1,232.35 and 492.21 is: 738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.77 : 1,232.35 = 492.21 : x
  2. Step 2: Convert to fraction form
    821.77/1,232.35 = 492.21/x
  3. Step 3: Cross multiply
    821.77x = 1,232.35 × 492.21
  4. Step 4: Simplify right side
    821.77x = 606,573.76
  5. Step 5: Solve for x
    x = 606,573.76/821.77
  6. Step 6: Final answer
    x = 738.13

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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.