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Finding the Fourth Proportional to 530, 731.44 and 323.04

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Solution

The fourth proportional to 530, 731.44 and 323.04 is: 445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530 : 731.44 = 323.04 : x
  2. Step 2: Convert to fraction form
    530/731.44 = 323.04/x
  3. Step 3: Cross multiply
    530x = 731.44 × 323.04
  4. Step 4: Simplify right side
    530x = 236,284.38
  5. Step 5: Solve for x
    x = 236,284.38/530
  6. Step 6: Final answer
    x = 445.82

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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.