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Finding the Fourth Proportional to 768.63, 1,153.50 and 563.73

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Solution

The fourth proportional to 768.63, 1,153.50 and 563.73 is: 846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.63 : 1,153.50 = 563.73 : x
  2. Step 2: Convert to fraction form
    768.63/1,153.50 = 563.73/x
  3. Step 3: Cross multiply
    768.63x = 1,153.50 × 563.73
  4. Step 4: Simplify right side
    768.63x = 650,262.56
  5. Step 5: Solve for x
    x = 650,262.56/768.63
  6. Step 6: Final answer
    x = 846.00

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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.