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Finding the Fourth Proportional to 746.12, 1,028.72 and 613.19

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Solution

The fourth proportional to 746.12, 1,028.72 and 613.19 is: 845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.12 : 1,028.72 = 613.19 : x
  2. Step 2: Convert to fraction form
    746.12/1,028.72 = 613.19/x
  3. Step 3: Cross multiply
    746.12x = 1,028.72 × 613.19
  4. Step 4: Simplify right side
    746.12x = 630,792.61
  5. Step 5: Solve for x
    x = 630,792.61/746.12
  6. Step 6: Final answer
    x = 845.44

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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.