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Finding the Fourth Proportional to 771.64, 1,156.62 and 361.06

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Solution

The fourth proportional to 771.64, 1,156.62 and 361.06 is: 541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.64 : 1,156.62 = 361.06 : x
  2. Step 2: Convert to fraction form
    771.64/1,156.62 = 361.06/x
  3. Step 3: Cross multiply
    771.64x = 1,156.62 × 361.06
  4. Step 4: Simplify right side
    771.64x = 417,609.22
  5. Step 5: Solve for x
    x = 417,609.22/771.64
  6. Step 6: Final answer
    x = 541.20

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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.