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Finding the Fourth Proportional to 497.97, 686.95 and 311.67

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Solution

The fourth proportional to 497.97, 686.95 and 311.67 is: 429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.97 : 686.95 = 311.67 : x
  2. Step 2: Convert to fraction form
    497.97/686.95 = 311.67/x
  3. Step 3: Cross multiply
    497.97x = 686.95 × 311.67
  4. Step 4: Simplify right side
    497.97x = 214,100.93
  5. Step 5: Solve for x
    x = 214,100.93/497.97
  6. Step 6: Final answer
    x = 429.95

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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.