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Finding the Fourth Proportional to 771.92, 1,156.92 and 387.28

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Solution

The fourth proportional to 771.92, 1,156.92 and 387.28 is: 580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.92 : 1,156.92 = 387.28 : x
  2. Step 2: Convert to fraction form
    771.92/1,156.92 = 387.28/x
  3. Step 3: Cross multiply
    771.92x = 1,156.92 × 387.28
  4. Step 4: Simplify right side
    771.92x = 448,051.98
  5. Step 5: Solve for x
    x = 448,051.98/771.92
  6. Step 6: Final answer
    x = 580.44

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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.