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Finding the Fourth Proportional to 974.00, 1,341.96 and 869.10

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Solution

The fourth proportional to 974.00, 1,341.96 and 869.10 is: 1,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.00 : 1,341.96 = 869.10 : x
  2. Step 2: Convert to fraction form
    974.00/1,341.96 = 869.10/x
  3. Step 3: Cross multiply
    974.00x = 1,341.96 × 869.10
  4. Step 4: Simplify right side
    974.00x = 1,166,297.44
  5. Step 5: Solve for x
    x = 1,166,297.44/974.00
  6. Step 6: Final answer
    x = 1,197.44

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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.