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Finding the Fourth Proportional to 821.81, 1,134.19 and 467.78

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Solution

The fourth proportional to 821.81, 1,134.19 and 467.78 is: 645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.81 : 1,134.19 = 467.78 : x
  2. Step 2: Convert to fraction form
    821.81/1,134.19 = 467.78/x
  3. Step 3: Cross multiply
    821.81x = 1,134.19 × 467.78
  4. Step 4: Simplify right side
    821.81x = 530,551.40
  5. Step 5: Solve for x
    x = 530,551.40/821.81
  6. Step 6: Final answer
    x = 645.59

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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.