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Finding the Fourth Proportional to 496.84, 684.37 and 418.07

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Solution

The fourth proportional to 496.84, 684.37 and 418.07 is: 575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.84 : 684.37 = 418.07 : x
  2. Step 2: Convert to fraction form
    496.84/684.37 = 418.07/x
  3. Step 3: Cross multiply
    496.84x = 684.37 × 418.07
  4. Step 4: Simplify right side
    496.84x = 286,114.57
  5. Step 5: Solve for x
    x = 286,114.57/496.84
  6. Step 6: Final answer
    x = 575.87

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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.