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Finding the Fourth Proportional to 745.83, 1,029.27 and 409.75

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Solution

The fourth proportional to 745.83, 1,029.27 and 409.75 is: 565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.83 : 1,029.27 = 409.75 : x
  2. Step 2: Convert to fraction form
    745.83/1,029.27 = 409.75/x
  3. Step 3: Cross multiply
    745.83x = 1,029.27 × 409.75
  4. Step 4: Simplify right side
    745.83x = 421,743.38
  5. Step 5: Solve for x
    x = 421,743.38/745.83
  6. Step 6: Final answer
    x = 565.47

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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.