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Finding the Fourth Proportional to 772.30, 1,065.78 and 422.99

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Solution

The fourth proportional to 772.30, 1,065.78 and 422.99 is: 583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.30 : 1,065.78 = 422.99 : x
  2. Step 2: Convert to fraction form
    772.30/1,065.78 = 422.99/x
  3. Step 3: Cross multiply
    772.30x = 1,065.78 × 422.99
  4. Step 4: Simplify right side
    772.30x = 450,814.28
  5. Step 5: Solve for x
    x = 450,814.28/772.30
  6. Step 6: Final answer
    x = 583.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.