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Finding the Fourth Proportional to 745.67, 1,028.91 and 430.92

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Solution

The fourth proportional to 745.67, 1,028.91 and 430.92 is: 594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.67 : 1,028.91 = 430.92 : x
  2. Step 2: Convert to fraction form
    745.67/1,028.91 = 430.92/x
  3. Step 3: Cross multiply
    745.67x = 1,028.91 × 430.92
  4. Step 4: Simplify right side
    745.67x = 443,377.90
  5. Step 5: Solve for x
    x = 443,377.90/745.67
  6. Step 6: Final answer
    x = 594.61

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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.