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Finding the Fourth Proportional to 496.41, 684.41 and 407.57

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Solution

The fourth proportional to 496.41, 684.41 and 407.57 is: 561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 684.41 = 407.57 : x
  2. Step 2: Convert to fraction form
    496.41/684.41 = 407.57/x
  3. Step 3: Cross multiply
    496.41x = 684.41 × 407.57
  4. Step 4: Simplify right side
    496.41x = 278,944.98
  5. Step 5: Solve for x
    x = 278,944.98/496.41
  6. Step 6: Final answer
    x = 561.92

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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.