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Finding the Fourth Proportional to 744.72, 1,028.05 and 446.10

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Solution

The fourth proportional to 744.72, 1,028.05 and 446.10 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.72 : 1,028.05 = 446.10 : x
  2. Step 2: Convert to fraction form
    744.72/1,028.05 = 446.10/x
  3. Step 3: Cross multiply
    744.72x = 1,028.05 × 446.10
  4. Step 4: Simplify right side
    744.72x = 458,613.11
  5. Step 5: Solve for x
    x = 458,613.11/744.72
  6. Step 6: Final answer
    x = 615.82

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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.