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Finding the Fourth Proportional to 995.95, 1,493.03 and 643.60

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Solution

The fourth proportional to 995.95, 1,493.03 and 643.60 is: 964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.95 : 1,493.03 = 643.60 : x
  2. Step 2: Convert to fraction form
    995.95/1,493.03 = 643.60/x
  3. Step 3: Cross multiply
    995.95x = 1,493.03 × 643.60
  4. Step 4: Simplify right side
    995.95x = 960,921.78
  5. Step 5: Solve for x
    x = 960,921.78/995.95
  6. Step 6: Final answer
    x = 964.83

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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.