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Finding the Fourth Proportional to 527.03, 789.50 and 321.08

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Solution

The fourth proportional to 527.03, 789.50 and 321.08 is: 480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.03 : 789.50 = 321.08 : x
  2. Step 2: Convert to fraction form
    527.03/789.50 = 321.08/x
  3. Step 3: Cross multiply
    527.03x = 789.50 × 321.08
  4. Step 4: Simplify right side
    527.03x = 253,487.11
  5. Step 5: Solve for x
    x = 253,487.11/527.03
  6. Step 6: Final answer
    x = 480.98

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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.