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Finding the Fourth Proportional to 2,405.17, 3,607.44 and 761.73

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Solution

The fourth proportional to 2,405.17, 3,607.44 and 761.73 is: 1,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.17 : 3,607.44 = 761.73 : x
  2. Step 2: Convert to fraction form
    2,405.17/3,607.44 = 761.73/x
  3. Step 3: Cross multiply
    2,405.17x = 3,607.44 × 761.73
  4. Step 4: Simplify right side
    2,405.17x = 2,747,895.27
  5. Step 5: Solve for x
    x = 2,747,895.27/2,405.17
  6. Step 6: Final answer
    x = 1,142.50

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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.