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Finding the Fourth Proportional to 771.53, 1,157.31 and 284.47

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Solution

The fourth proportional to 771.53, 1,157.31 and 284.47 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.53 : 1,157.31 = 284.47 : x
  2. Step 2: Convert to fraction form
    771.53/1,157.31 = 284.47/x
  3. Step 3: Cross multiply
    771.53x = 1,157.31 × 284.47
  4. Step 4: Simplify right side
    771.53x = 329,217.08
  5. Step 5: Solve for x
    x = 329,217.08/771.53
  6. Step 6: Final answer
    x = 426.71

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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.