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Finding the Fourth Proportional to 417.68, 575.04 and 343.86

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Solution

The fourth proportional to 417.68, 575.04 and 343.86 is: 473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 575.04 = 343.86 : x
  2. Step 2: Convert to fraction form
    417.68/575.04 = 343.86/x
  3. Step 3: Cross multiply
    417.68x = 575.04 × 343.86
  4. Step 4: Simplify right side
    417.68x = 197,733.25
  5. Step 5: Solve for x
    x = 197,733.25/417.68
  6. Step 6: Final answer
    x = 473.41

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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.