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Finding the Fourth Proportional to 821.74, 1,232.61 and 302.11

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Solution

The fourth proportional to 821.74, 1,232.61 and 302.11 is: 453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.74 : 1,232.61 = 302.11 : x
  2. Step 2: Convert to fraction form
    821.74/1,232.61 = 302.11/x
  3. Step 3: Cross multiply
    821.74x = 1,232.61 × 302.11
  4. Step 4: Simplify right side
    821.74x = 372,383.81
  5. Step 5: Solve for x
    x = 372,383.81/821.74
  6. Step 6: Final answer
    x = 453.17

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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.