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Finding the Fourth Proportional to 771.40, 1,157.10 and 513.08

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Solution

The fourth proportional to 771.40, 1,157.10 and 513.08 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.40 : 1,157.10 = 513.08 : x
  2. Step 2: Convert to fraction form
    771.40/1,157.10 = 513.08/x
  3. Step 3: Cross multiply
    771.40x = 1,157.10 × 513.08
  4. Step 4: Simplify right side
    771.40x = 593,684.87
  5. Step 5: Solve for x
    x = 593,684.87/771.40
  6. Step 6: Final answer
    x = 769.62

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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.