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Finding the Fourth Proportional to 448.56, 676.08 and 431.28

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Solution

The fourth proportional to 448.56, 676.08 and 431.28 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.56 : 676.08 = 431.28 : x
  2. Step 2: Convert to fraction form
    448.56/676.08 = 431.28/x
  3. Step 3: Cross multiply
    448.56x = 676.08 × 431.28
  4. Step 4: Simplify right side
    448.56x = 291,579.78
  5. Step 5: Solve for x
    x = 291,579.78/448.56
  6. Step 6: Final answer
    x = 650.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.