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Finding the Fourth Proportional to 995.49, 1,493.64 and 847.87

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Solution

The fourth proportional to 995.49, 1,493.64 and 847.87 is: 1,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.49 : 1,493.64 = 847.87 : x
  2. Step 2: Convert to fraction form
    995.49/1,493.64 = 847.87/x
  3. Step 3: Cross multiply
    995.49x = 1,493.64 × 847.87
  4. Step 4: Simplify right side
    995.49x = 1,266,408.81
  5. Step 5: Solve for x
    x = 1,266,408.81/995.49
  6. Step 6: Final answer
    x = 1,272.15

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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.