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Finding the Fourth Proportional to 788.54, 1,176.73 and 692.55

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Solution

The fourth proportional to 788.54, 1,176.73 and 692.55 is: 1,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.54 : 1,176.73 = 692.55 : x
  2. Step 2: Convert to fraction form
    788.54/1,176.73 = 692.55/x
  3. Step 3: Cross multiply
    788.54x = 1,176.73 × 692.55
  4. Step 4: Simplify right side
    788.54x = 814,942.63
  5. Step 5: Solve for x
    x = 814,942.63/788.54
  6. Step 6: Final answer
    x = 1,033.49

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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.