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Finding the Fourth Proportional to 995.17, 1,492.89 and 345.79

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Solution

The fourth proportional to 995.17, 1,492.89 and 345.79 is: 518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.17 : 1,492.89 = 345.79 : x
  2. Step 2: Convert to fraction form
    995.17/1,492.89 = 345.79/x
  3. Step 3: Cross multiply
    995.17x = 1,492.89 × 345.79
  4. Step 4: Simplify right side
    995.17x = 516,226.43
  5. Step 5: Solve for x
    x = 516,226.43/995.17
  6. Step 6: Final answer
    x = 518.73

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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.