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Finding the Fourth Proportional to 771.90, 1,157.91 and 224.13

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Solution

The fourth proportional to 771.90, 1,157.91 and 224.13 is: 336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,157.91 = 224.13 : x
  2. Step 2: Convert to fraction form
    771.90/1,157.91 = 224.13/x
  3. Step 3: Cross multiply
    771.90x = 1,157.91 × 224.13
  4. Step 4: Simplify right side
    771.90x = 259,522.37
  5. Step 5: Solve for x
    x = 259,522.37/771.90
  6. Step 6: Final answer
    x = 336.21

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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.