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Finding the Fourth Proportional to 787.05, 1,174.74 and 694.80

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Solution

The fourth proportional to 787.05, 1,174.74 and 694.80 is: 1,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.05 : 1,174.74 = 694.80 : x
  2. Step 2: Convert to fraction form
    787.05/1,174.74 = 694.80/x
  3. Step 3: Cross multiply
    787.05x = 1,174.74 × 694.80
  4. Step 4: Simplify right side
    787.05x = 816,209.35
  5. Step 5: Solve for x
    x = 816,209.35/787.05
  6. Step 6: Final answer
    x = 1,037.05

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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.