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Finding the Fourth Proportional to 995.02, 1,369.11 and 969.58

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Solution

The fourth proportional to 995.02, 1,369.11 and 969.58 is: 1,334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.02 : 1,369.11 = 969.58 : x
  2. Step 2: Convert to fraction form
    995.02/1,369.11 = 969.58/x
  3. Step 3: Cross multiply
    995.02x = 1,369.11 × 969.58
  4. Step 4: Simplify right side
    995.02x = 1,327,461.67
  5. Step 5: Solve for x
    x = 1,327,461.67/995.02
  6. Step 6: Final answer
    x = 1,334.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.