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Finding the Fourth Proportional to 583.74, 804.38 and 417.69

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Solution

The fourth proportional to 583.74, 804.38 and 417.69 is: 575.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 804.38 = 417.69 : x
  2. Step 2: Convert to fraction form
    583.74/804.38 = 417.69/x
  3. Step 3: Cross multiply
    583.74x = 804.38 × 417.69
  4. Step 4: Simplify right side
    583.74x = 335,979.39
  5. Step 5: Solve for x
    x = 335,979.39/583.74
  6. Step 6: Final answer
    x = 575.56

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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.