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Finding the Fourth Proportional to 996.28, 1,493.73 and 509.00

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Solution

The fourth proportional to 996.28, 1,493.73 and 509.00 is: 763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.28 : 1,493.73 = 509.00 : x
  2. Step 2: Convert to fraction form
    996.28/1,493.73 = 509.00/x
  3. Step 3: Cross multiply
    996.28x = 1,493.73 × 509.00
  4. Step 4: Simplify right side
    996.28x = 760,301.10
  5. Step 5: Solve for x
    x = 760,301.10/996.28
  6. Step 6: Final answer
    x = 763.14

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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.