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Finding the Fourth Proportional to 527.50, 789.90 and 390.34

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Solution

The fourth proportional to 527.50, 789.90 and 390.34 is: 584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.50 : 789.90 = 390.34 : x
  2. Step 2: Convert to fraction form
    527.50/789.90 = 390.34/x
  3. Step 3: Cross multiply
    527.50x = 789.90 × 390.34
  4. Step 4: Simplify right side
    527.50x = 308,329.57
  5. Step 5: Solve for x
    x = 308,329.57/527.50
  6. Step 6: Final answer
    x = 584.51

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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.