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Finding the Fourth Proportional to 575.83, 794.65 and 327.17

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Solution

The fourth proportional to 575.83, 794.65 and 327.17 is: 451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.83 : 794.65 = 327.17 : x
  2. Step 2: Convert to fraction form
    575.83/794.65 = 327.17/x
  3. Step 3: Cross multiply
    575.83x = 794.65 × 327.17
  4. Step 4: Simplify right side
    575.83x = 259,985.64
  5. Step 5: Solve for x
    x = 259,985.64/575.83
  6. Step 6: Final answer
    x = 451.50

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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.