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Finding the Fourth Proportional to 869.48, 1,297.87 and 765.68

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Solution

The fourth proportional to 869.48, 1,297.87 and 765.68 is: 1,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.48 : 1,297.87 = 765.68 : x
  2. Step 2: Convert to fraction form
    869.48/1,297.87 = 765.68/x
  3. Step 3: Cross multiply
    869.48x = 1,297.87 × 765.68
  4. Step 4: Simplify right side
    869.48x = 993,753.10
  5. Step 5: Solve for x
    x = 993,753.10/869.48
  6. Step 6: Final answer
    x = 1,142.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.