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Finding the Fourth Proportional to 768.65, 1,150.70 and 493.93

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Solution

The fourth proportional to 768.65, 1,150.70 and 493.93 is: 739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.65 : 1,150.70 = 493.93 : x
  2. Step 2: Convert to fraction form
    768.65/1,150.70 = 493.93/x
  3. Step 3: Cross multiply
    768.65x = 1,150.70 × 493.93
  4. Step 4: Simplify right side
    768.65x = 568,359.50
  5. Step 5: Solve for x
    x = 568,359.50/768.65
  6. Step 6: Final answer
    x = 739.43

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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.