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Finding the Fourth Proportional to 676.96, 933.36 and 492.64

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Solution

The fourth proportional to 676.96, 933.36 and 492.64 is: 679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.96 : 933.36 = 492.64 : x
  2. Step 2: Convert to fraction form
    676.96/933.36 = 492.64/x
  3. Step 3: Cross multiply
    676.96x = 933.36 × 492.64
  4. Step 4: Simplify right side
    676.96x = 459,810.47
  5. Step 5: Solve for x
    x = 459,810.47/676.96
  6. Step 6: Final answer
    x = 679.23

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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.