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Finding the Fourth Proportional to 496.99, 686.51 and 414.37

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Solution

The fourth proportional to 496.99, 686.51 and 414.37 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.99 : 686.51 = 414.37 : x
  2. Step 2: Convert to fraction form
    496.99/686.51 = 414.37/x
  3. Step 3: Cross multiply
    496.99x = 686.51 × 414.37
  4. Step 4: Simplify right side
    496.99x = 284,469.15
  5. Step 5: Solve for x
    x = 284,469.15/496.99
  6. Step 6: Final answer
    x = 572.38

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1.5x scale

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.