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Finding the Fourth Proportional to 1,459.05, 2,186.04 and 995.34

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Solution

The fourth proportional to 1,459.05, 2,186.04 and 995.34 is: 1,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.05 : 2,186.04 = 995.34 : x
  2. Step 2: Convert to fraction form
    1,459.05/2,186.04 = 995.34/x
  3. Step 3: Cross multiply
    1,459.05x = 2,186.04 × 995.34
  4. Step 4: Simplify right side
    1,459.05x = 2,175,853.05
  5. Step 5: Solve for x
    x = 2,175,853.05/1,459.05
  6. Step 6: Final answer
    x = 1,491.28

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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.