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Finding the Fourth Proportional to 526.85, 789.61 and 309.89

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Solution

The fourth proportional to 526.85, 789.61 and 309.89 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.85 : 789.61 = 309.89 : x
  2. Step 2: Convert to fraction form
    526.85/789.61 = 309.89/x
  3. Step 3: Cross multiply
    526.85x = 789.61 × 309.89
  4. Step 4: Simplify right side
    526.85x = 244,692.24
  5. Step 5: Solve for x
    x = 244,692.24/526.85
  6. Step 6: Final answer
    x = 464.44

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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.