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Finding the Fourth Proportional to 771.77, 1,157.27 and 361.10

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Solution

The fourth proportional to 771.77, 1,157.27 and 361.10 is: 541.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.77 : 1,157.27 = 361.10 : x
  2. Step 2: Convert to fraction form
    771.77/1,157.27 = 361.10/x
  3. Step 3: Cross multiply
    771.77x = 1,157.27 × 361.10
  4. Step 4: Simplify right side
    771.77x = 417,890.20
  5. Step 5: Solve for x
    x = 417,890.20/771.77
  6. Step 6: Final answer
    x = 541.47

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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.