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Finding the Fourth Proportional to 1,542.21, 2,313.63 and 762.30

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Solution

The fourth proportional to 1,542.21, 2,313.63 and 762.30 is: 1,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.21 : 2,313.63 = 762.30 : x
  2. Step 2: Convert to fraction form
    1,542.21/2,313.63 = 762.30/x
  3. Step 3: Cross multiply
    1,542.21x = 2,313.63 × 762.30
  4. Step 4: Simplify right side
    1,542.21x = 1,763,680.15
  5. Step 5: Solve for x
    x = 1,763,680.15/1,542.21
  6. Step 6: Final answer
    x = 1,143.61

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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.