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Finding the Fourth Proportional to 527.85, 789.95 and 418.50

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Solution

The fourth proportional to 527.85, 789.95 and 418.50 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.85 : 789.95 = 418.50 : x
  2. Step 2: Convert to fraction form
    527.85/789.95 = 418.50/x
  3. Step 3: Cross multiply
    527.85x = 789.95 × 418.50
  4. Step 4: Simplify right side
    527.85x = 330,595.12
  5. Step 5: Solve for x
    x = 330,595.12/527.85
  6. Step 6: Final answer
    x = 626.31

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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.