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Finding the Fourth Proportional to 771.30, 1,157.01 and 284.23

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Solution

The fourth proportional to 771.30, 1,157.01 and 284.23 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,157.01 = 284.23 : x
  2. Step 2: Convert to fraction form
    771.30/1,157.01 = 284.23/x
  3. Step 3: Cross multiply
    771.30x = 1,157.01 × 284.23
  4. Step 4: Simplify right side
    771.30x = 328,856.95
  5. Step 5: Solve for x
    x = 328,856.95/771.30
  6. Step 6: Final answer
    x = 426.37

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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.