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Finding the Fourth Proportional to 995.58, 1,493.28 and 475.20

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Solution

The fourth proportional to 995.58, 1,493.28 and 475.20 is: 712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.58 : 1,493.28 = 475.20 : x
  2. Step 2: Convert to fraction form
    995.58/1,493.28 = 475.20/x
  3. Step 3: Cross multiply
    995.58x = 1,493.28 × 475.20
  4. Step 4: Simplify right side
    995.58x = 709,606.66
  5. Step 5: Solve for x
    x = 709,606.66/995.58
  6. Step 6: Final answer
    x = 712.76

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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.