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Finding the Fourth Proportional to 492.96, 676.12 and 434.64

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Solution

The fourth proportional to 492.96, 676.12 and 434.64 is: 596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.96 : 676.12 = 434.64 : x
  2. Step 2: Convert to fraction form
    492.96/676.12 = 434.64/x
  3. Step 3: Cross multiply
    492.96x = 676.12 × 434.64
  4. Step 4: Simplify right side
    492.96x = 293,868.80
  5. Step 5: Solve for x
    x = 293,868.80/492.96
  6. Step 6: Final answer
    x = 596.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.