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Finding the Fourth Proportional to 957.99, 1,436.97 and 546.25

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Solution

The fourth proportional to 957.99, 1,436.97 and 546.25 is: 819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.99 : 1,436.97 = 546.25 : x
  2. Step 2: Convert to fraction form
    957.99/1,436.97 = 546.25/x
  3. Step 3: Cross multiply
    957.99x = 1,436.97 × 546.25
  4. Step 4: Simplify right side
    957.99x = 784,944.86
  5. Step 5: Solve for x
    x = 784,944.86/957.99
  6. Step 6: Final answer
    x = 819.37

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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.