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Finding the Fourth Proportional to 527.03, 791.35 and 284.03

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Solution

The fourth proportional to 527.03, 791.35 and 284.03 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.03 : 791.35 = 284.03 : x
  2. Step 2: Convert to fraction form
    527.03/791.35 = 284.03/x
  3. Step 3: Cross multiply
    527.03x = 791.35 × 284.03
  4. Step 4: Simplify right side
    527.03x = 224,767.14
  5. Step 5: Solve for x
    x = 224,767.14/527.03
  6. Step 6: Final answer
    x = 426.48

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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.