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Finding the Fourth Proportional to 995.23, 1,493.40 and 410.66

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Solution

The fourth proportional to 995.23, 1,493.40 and 410.66 is: 616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.23 : 1,493.40 = 410.66 : x
  2. Step 2: Convert to fraction form
    995.23/1,493.40 = 410.66/x
  3. Step 3: Cross multiply
    995.23x = 1,493.40 × 410.66
  4. Step 4: Simplify right side
    995.23x = 613,283.38
  5. Step 5: Solve for x
    x = 613,283.38/995.23
  6. Step 6: Final answer
    x = 616.22

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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.