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Finding the Fourth Proportional to 532.35, 799.00 and 285.75

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Solution

The fourth proportional to 532.35, 799.00 and 285.75 is: 428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 799.00 = 285.75 : x
  2. Step 2: Convert to fraction form
    532.35/799.00 = 285.75/x
  3. Step 3: Cross multiply
    532.35x = 799.00 × 285.75
  4. Step 4: Simplify right side
    532.35x = 228,313.54
  5. Step 5: Solve for x
    x = 228,313.54/532.35
  6. Step 6: Final answer
    x = 428.88

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Similar ratio
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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.