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Finding the Fourth Proportional to 995.60, 1,493.91 and 411.05

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Solution

The fourth proportional to 995.60, 1,493.91 and 411.05 is: 616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.60 : 1,493.91 = 411.05 : x
  2. Step 2: Convert to fraction form
    995.60/1,493.91 = 411.05/x
  3. Step 3: Cross multiply
    995.60x = 1,493.91 × 411.05
  4. Step 4: Simplify right side
    995.60x = 614,071.71
  5. Step 5: Solve for x
    x = 614,071.71/995.60
  6. Step 6: Final answer
    x = 616.79

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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.