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Finding the Fourth Proportional to 869.90, 1,297.59 and 787.82

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Solution

The fourth proportional to 869.90, 1,297.59 and 787.82 is: 1,175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.90 : 1,297.59 = 787.82 : x
  2. Step 2: Convert to fraction form
    869.90/1,297.59 = 787.82/x
  3. Step 3: Cross multiply
    869.90x = 1,297.59 × 787.82
  4. Step 4: Simplify right side
    869.90x = 1,022,263.41
  5. Step 5: Solve for x
    x = 1,022,263.41/869.90
  6. Step 6: Final answer
    x = 1,175.15

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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.