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Finding the Fourth Proportional to 771.35, 1,156.98 and 284.37

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Solution

The fourth proportional to 771.35, 1,156.98 and 284.37 is: 426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.35 : 1,156.98 = 284.37 : x
  2. Step 2: Convert to fraction form
    771.35/1,156.98 = 284.37/x
  3. Step 3: Cross multiply
    771.35x = 1,156.98 × 284.37
  4. Step 4: Simplify right side
    771.35x = 329,010.40
  5. Step 5: Solve for x
    x = 329,010.40/771.35
  6. Step 6: Final answer
    x = 426.54

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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.