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Finding the Fourth Proportional to 676.10, 933.32 and 448.96

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Solution

The fourth proportional to 676.10, 933.32 and 448.96 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.10 : 933.32 = 448.96 : x
  2. Step 2: Convert to fraction form
    676.10/933.32 = 448.96/x
  3. Step 3: Cross multiply
    676.10x = 933.32 × 448.96
  4. Step 4: Simplify right side
    676.10x = 419,023.35
  5. Step 5: Solve for x
    x = 419,023.35/676.10
  6. Step 6: Final answer
    x = 619.77

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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.