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Finding the Fourth Proportional to 821.69, 1,134.08 and 467.64

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Solution

The fourth proportional to 821.69, 1,134.08 and 467.64 is: 645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.69 : 1,134.08 = 467.64 : x
  2. Step 2: Convert to fraction form
    821.69/1,134.08 = 467.64/x
  3. Step 3: Cross multiply
    821.69x = 1,134.08 × 467.64
  4. Step 4: Simplify right side
    821.69x = 530,343.22
  5. Step 5: Solve for x
    x = 530,343.22/821.69
  6. Step 6: Final answer
    x = 645.43

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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.