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Finding the Fourth Proportional to 527.20, 789.77 and 429.82

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Solution

The fourth proportional to 527.20, 789.77 and 429.82 is: 643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.20 : 789.77 = 429.82 : x
  2. Step 2: Convert to fraction form
    527.20/789.77 = 429.82/x
  3. Step 3: Cross multiply
    527.20x = 789.77 × 429.82
  4. Step 4: Simplify right side
    527.20x = 339,456.79
  5. Step 5: Solve for x
    x = 339,456.79/527.20
  6. Step 6: Final answer
    x = 643.89

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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.