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Finding the Fourth Proportional to 745.75, 1,029.99 and 496.64

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Solution

The fourth proportional to 745.75, 1,029.99 and 496.64 is: 685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.75 : 1,029.99 = 496.64 : x
  2. Step 2: Convert to fraction form
    745.75/1,029.99 = 496.64/x
  3. Step 3: Cross multiply
    745.75x = 1,029.99 × 496.64
  4. Step 4: Simplify right side
    745.75x = 511,534.23
  5. Step 5: Solve for x
    x = 511,534.23/745.75
  6. Step 6: Final answer
    x = 685.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.