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Finding the Fourth Proportional to 771.45, 1,157.37 and 309.24

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Solution

The fourth proportional to 771.45, 1,157.37 and 309.24 is: 463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.45 : 1,157.37 = 309.24 : x
  2. Step 2: Convert to fraction form
    771.45/1,157.37 = 309.24/x
  3. Step 3: Cross multiply
    771.45x = 1,157.37 × 309.24
  4. Step 4: Simplify right side
    771.45x = 357,905.10
  5. Step 5: Solve for x
    x = 357,905.10/771.45
  6. Step 6: Final answer
    x = 463.94

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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.