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Finding the Fourth Proportional to 497.12, 685.76 and 300.64

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Solution

The fourth proportional to 497.12, 685.76 and 300.64 is: 414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 685.76 = 300.64 : x
  2. Step 2: Convert to fraction form
    497.12/685.76 = 300.64/x
  3. Step 3: Cross multiply
    497.12x = 685.76 × 300.64
  4. Step 4: Simplify right side
    497.12x = 206,166.89
  5. Step 5: Solve for x
    x = 206,166.89/497.12
  6. Step 6: Final answer
    x = 414.72

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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.