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Finding the Fourth Proportional to 771.47, 1,157.21 and 258.47

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Solution

The fourth proportional to 771.47, 1,157.21 and 258.47 is: 387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.47 : 1,157.21 = 258.47 : x
  2. Step 2: Convert to fraction form
    771.47/1,157.21 = 258.47/x
  3. Step 3: Cross multiply
    771.47x = 1,157.21 × 258.47
  4. Step 4: Simplify right side
    771.47x = 299,105.67
  5. Step 5: Solve for x
    x = 299,105.67/771.47
  6. Step 6: Final answer
    x = 387.71

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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.