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Finding the Fourth Proportional to 417.60, 575.97 and 319.58

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Solution

The fourth proportional to 417.60, 575.97 and 319.58 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 575.97 = 319.58 : x
  2. Step 2: Convert to fraction form
    417.60/575.97 = 319.58/x
  3. Step 3: Cross multiply
    417.60x = 575.97 × 319.58
  4. Step 4: Simplify right side
    417.60x = 184,068.49
  5. Step 5: Solve for x
    x = 184,068.49/417.60
  6. Step 6: Final answer
    x = 440.78

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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.