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Finding the Fourth Proportional to 2,405.12, 3,607.64 and 761.66

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Solution

The fourth proportional to 2,405.12, 3,607.64 and 761.66 is: 1,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.12 : 3,607.64 = 761.66 : x
  2. Step 2: Convert to fraction form
    2,405.12/3,607.64 = 761.66/x
  3. Step 3: Cross multiply
    2,405.12x = 3,607.64 × 761.66
  4. Step 4: Simplify right side
    2,405.12x = 2,747,803.15
  5. Step 5: Solve for x
    x = 2,747,803.15/2,405.12
  6. Step 6: Final answer
    x = 1,142.48

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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.