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Finding the Fourth Proportional to 527.33, 791.33 and 522.98

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Solution

The fourth proportional to 527.33, 791.33 and 522.98 is: 784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.33 : 791.33 = 522.98 : x
  2. Step 2: Convert to fraction form
    527.33/791.33 = 522.98/x
  3. Step 3: Cross multiply
    527.33x = 791.33 × 522.98
  4. Step 4: Simplify right side
    527.33x = 413,848.75
  5. Step 5: Solve for x
    x = 413,848.75/527.33
  6. Step 6: Final answer
    x = 784.80

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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.