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Finding the Fourth Proportional to 869.76, 1,297.92 and 772.80

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Solution

The fourth proportional to 869.76, 1,297.92 and 772.80 is: 1,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.76 : 1,297.92 = 772.80 : x
  2. Step 2: Convert to fraction form
    869.76/1,297.92 = 772.80/x
  3. Step 3: Cross multiply
    869.76x = 1,297.92 × 772.80
  4. Step 4: Simplify right side
    869.76x = 1,003,032.58
  5. Step 5: Solve for x
    x = 1,003,032.58/869.76
  6. Step 6: Final answer
    x = 1,153.23

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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.