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Finding the Fourth Proportional to 771.82, 1,065.01 and 491.94

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Solution

The fourth proportional to 771.82, 1,065.01 and 491.94 is: 678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.82 : 1,065.01 = 491.94 : x
  2. Step 2: Convert to fraction form
    771.82/1,065.01 = 491.94/x
  3. Step 3: Cross multiply
    771.82x = 1,065.01 × 491.94
  4. Step 4: Simplify right side
    771.82x = 523,921.02
  5. Step 5: Solve for x
    x = 523,921.02/771.82
  6. Step 6: Final answer
    x = 678.81

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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.