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Finding the Fourth Proportional to 768.74, 1,157.67 and 692.60

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Solution

The fourth proportional to 768.74, 1,157.67 and 692.60 is: 1,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.74 : 1,157.67 = 692.60 : x
  2. Step 2: Convert to fraction form
    768.74/1,157.67 = 692.60/x
  3. Step 3: Cross multiply
    768.74x = 1,157.67 × 692.60
  4. Step 4: Simplify right side
    768.74x = 801,802.24
  5. Step 5: Solve for x
    x = 801,802.24/768.74
  6. Step 6: Final answer
    x = 1,043.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.