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Finding the Fourth Proportional to 771.60, 1,157.80 and 769.16

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Solution

The fourth proportional to 771.60, 1,157.80 and 769.16 is: 1,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,157.80 = 769.16 : x
  2. Step 2: Convert to fraction form
    771.60/1,157.80 = 769.16/x
  3. Step 3: Cross multiply
    771.60x = 1,157.80 × 769.16
  4. Step 4: Simplify right side
    771.60x = 890,533.45
  5. Step 5: Solve for x
    x = 890,533.45/771.60
  6. Step 6: Final answer
    x = 1,154.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.