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Finding the Fourth Proportional to 771.36, 1,157.12 and 284.32

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Solution

The fourth proportional to 771.36, 1,157.12 and 284.32 is: 426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.36 : 1,157.12 = 284.32 : x
  2. Step 2: Convert to fraction form
    771.36/1,157.12 = 284.32/x
  3. Step 3: Cross multiply
    771.36x = 1,157.12 × 284.32
  4. Step 4: Simplify right side
    771.36x = 328,992.36
  5. Step 5: Solve for x
    x = 328,992.36/771.36
  6. Step 6: Final answer
    x = 426.51

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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.