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Finding the Fourth Proportional to 771.85, 1,065.19 and 440.38

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Solution

The fourth proportional to 771.85, 1,065.19 and 440.38 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,065.19 = 440.38 : x
  2. Step 2: Convert to fraction form
    771.85/1,065.19 = 440.38/x
  3. Step 3: Cross multiply
    771.85x = 1,065.19 × 440.38
  4. Step 4: Simplify right side
    771.85x = 469,087.67
  5. Step 5: Solve for x
    x = 469,087.67/771.85
  6. Step 6: Final answer
    x = 607.75

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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.