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Finding the Fourth Proportional to 995.72, 1,494.26 and 509.11

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Solution

The fourth proportional to 995.72, 1,494.26 and 509.11 is: 764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.72 : 1,494.26 = 509.11 : x
  2. Step 2: Convert to fraction form
    995.72/1,494.26 = 509.11/x
  3. Step 3: Cross multiply
    995.72x = 1,494.26 × 509.11
  4. Step 4: Simplify right side
    995.72x = 760,742.71
  5. Step 5: Solve for x
    x = 760,742.71/995.72
  6. Step 6: Final answer
    x = 764.01

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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.