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Finding the Fourth Proportional to 2,309.11, 3,463.64 and 577.73

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Solution

The fourth proportional to 2,309.11, 3,463.64 and 577.73 is: 866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.11 : 3,463.64 = 577.73 : x
  2. Step 2: Convert to fraction form
    2,309.11/3,463.64 = 577.73/x
  3. Step 3: Cross multiply
    2,309.11x = 3,463.64 × 577.73
  4. Step 4: Simplify right side
    2,309.11x = 2,001,045.85
  5. Step 5: Solve for x
    x = 2,001,045.85/2,309.11
  6. Step 6: Final answer
    x = 866.59

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1.5x scale

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.