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Finding the Fourth Proportional to 497.12, 686.05 and 300.65

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Solution

The fourth proportional to 497.12, 686.05 and 300.65 is: 414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.12 : 686.05 = 300.65 : x
  2. Step 2: Convert to fraction form
    497.12/686.05 = 300.65/x
  3. Step 3: Cross multiply
    497.12x = 686.05 × 300.65
  4. Step 4: Simplify right side
    497.12x = 206,256.75
  5. Step 5: Solve for x
    x = 206,256.75/497.12
  6. Step 6: Final answer
    x = 414.91

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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.