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Finding the Fourth Proportional to 527.28, 789.30 and 283.20

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Solution

The fourth proportional to 527.28, 789.30 and 283.20 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.28 : 789.30 = 283.20 : x
  2. Step 2: Convert to fraction form
    527.28/789.30 = 283.20/x
  3. Step 3: Cross multiply
    527.28x = 789.30 × 283.20
  4. Step 4: Simplify right side
    527.28x = 223,529.76
  5. Step 5: Solve for x
    x = 223,529.76/527.28
  6. Step 6: Final answer
    x = 423.93

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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.