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Finding the Fourth Proportional to 995.82, 1,494.42 and 509.19

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Solution

The fourth proportional to 995.82, 1,494.42 and 509.19 is: 764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.82 : 1,494.42 = 509.19 : x
  2. Step 2: Convert to fraction form
    995.82/1,494.42 = 509.19/x
  3. Step 3: Cross multiply
    995.82x = 1,494.42 × 509.19
  4. Step 4: Simplify right side
    995.82x = 760,943.72
  5. Step 5: Solve for x
    x = 760,943.72/995.82
  6. Step 6: Final answer
    x = 764.14

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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.