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Finding the Fourth Proportional to 821.77, 1,232.11 and 328.23

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Solution

The fourth proportional to 821.77, 1,232.11 and 328.23 is: 492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.77 : 1,232.11 = 328.23 : x
  2. Step 2: Convert to fraction form
    821.77/1,232.11 = 328.23/x
  3. Step 3: Cross multiply
    821.77x = 1,232.11 × 328.23
  4. Step 4: Simplify right side
    821.77x = 404,412.41
  5. Step 5: Solve for x
    x = 404,412.41/821.77
  6. Step 6: Final answer
    x = 492.12

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1.5x scale

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.