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Finding the Fourth Proportional to 575.12, 794.29 and 398.33

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Solution

The fourth proportional to 575.12, 794.29 and 398.33 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.12 : 794.29 = 398.33 : x
  2. Step 2: Convert to fraction form
    575.12/794.29 = 398.33/x
  3. Step 3: Cross multiply
    575.12x = 794.29 × 398.33
  4. Step 4: Simplify right side
    575.12x = 316,392.76
  5. Step 5: Solve for x
    x = 316,392.76/575.12
  6. Step 6: Final answer
    x = 550.14

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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.