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Finding the Fourth Proportional to 771.90, 1,157.87 and 224.16

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Solution

The fourth proportional to 771.90, 1,157.87 and 224.16 is: 336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,157.87 = 224.16 : x
  2. Step 2: Convert to fraction form
    771.90/1,157.87 = 224.16/x
  3. Step 3: Cross multiply
    771.90x = 1,157.87 × 224.16
  4. Step 4: Simplify right side
    771.90x = 259,548.14
  5. Step 5: Solve for x
    x = 259,548.14/771.90
  6. Step 6: Final answer
    x = 336.25

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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.