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Finding the Fourth Proportional to 771.43, 1,156.78 and 284.14

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Solution

The fourth proportional to 771.43, 1,156.78 and 284.14 is: 426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.43 : 1,156.78 = 284.14 : x
  2. Step 2: Convert to fraction form
    771.43/1,156.78 = 284.14/x
  3. Step 3: Cross multiply
    771.43x = 1,156.78 × 284.14
  4. Step 4: Simplify right side
    771.43x = 328,687.47
  5. Step 5: Solve for x
    x = 328,687.47/771.43
  6. Step 6: Final answer
    x = 426.08

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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.