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Finding the Fourth Proportional to 768.99, 1,145.98 and 746.72

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Solution

The fourth proportional to 768.99, 1,145.98 and 746.72 is: 1,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.99 : 1,145.98 = 746.72 : x
  2. Step 2: Convert to fraction form
    768.99/1,145.98 = 746.72/x
  3. Step 3: Cross multiply
    768.99x = 1,145.98 × 746.72
  4. Step 4: Simplify right side
    768.99x = 855,725.69
  5. Step 5: Solve for x
    x = 855,725.69/768.99
  6. Step 6: Final answer
    x = 1,112.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.