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Finding the Fourth Proportional to 995.77, 1,493.49 and 302.28

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Solution

The fourth proportional to 995.77, 1,493.49 and 302.28 is: 453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.77 : 1,493.49 = 302.28 : x
  2. Step 2: Convert to fraction form
    995.77/1,493.49 = 302.28/x
  3. Step 3: Cross multiply
    995.77x = 1,493.49 × 302.28
  4. Step 4: Simplify right side
    995.77x = 451,445.07
  5. Step 5: Solve for x
    x = 451,445.07/995.77
  6. Step 6: Final answer
    x = 453.36

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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.