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Finding the Fourth Proportional to 995.11, 1,492.65 and 605.21

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Solution

The fourth proportional to 995.11, 1,492.65 and 605.21 is: 907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.11 : 1,492.65 = 605.21 : x
  2. Step 2: Convert to fraction form
    995.11/1,492.65 = 605.21/x
  3. Step 3: Cross multiply
    995.11x = 1,492.65 × 605.21
  4. Step 4: Simplify right side
    995.11x = 903,369.00
  5. Step 5: Solve for x
    x = 903,369.00/995.11
  6. Step 6: Final answer
    x = 907.81

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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.