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Finding the Fourth Proportional to 771.76, 1,065.03 and 422.45

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Solution

The fourth proportional to 771.76, 1,065.03 and 422.45 is: 582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.76 : 1,065.03 = 422.45 : x
  2. Step 2: Convert to fraction form
    771.76/1,065.03 = 422.45/x
  3. Step 3: Cross multiply
    771.76x = 1,065.03 × 422.45
  4. Step 4: Simplify right side
    771.76x = 449,914.49
  5. Step 5: Solve for x
    x = 449,914.49/771.76
  6. Step 6: Final answer
    x = 582.98

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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.