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Finding the Fourth Proportional to 2,309.06, 3,463.62 and 577.70

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Solution

The fourth proportional to 2,309.06, 3,463.62 and 577.70 is: 866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.06 : 3,463.62 = 577.70 : x
  2. Step 2: Convert to fraction form
    2,309.06/3,463.62 = 577.70/x
  3. Step 3: Cross multiply
    2,309.06x = 3,463.62 × 577.70
  4. Step 4: Simplify right side
    2,309.06x = 2,000,933.27
  5. Step 5: Solve for x
    x = 2,000,933.27/2,309.06
  6. Step 6: Final answer
    x = 866.56

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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.