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Finding the Fourth Proportional to 577.74, 797.34 and 329.15

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Solution

The fourth proportional to 577.74, 797.34 and 329.15 is: 454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.74 : 797.34 = 329.15 : x
  2. Step 2: Convert to fraction form
    577.74/797.34 = 329.15/x
  3. Step 3: Cross multiply
    577.74x = 797.34 × 329.15
  4. Step 4: Simplify right side
    577.74x = 262,440.47
  5. Step 5: Solve for x
    x = 262,440.47/577.74
  6. Step 6: Final answer
    x = 454.25

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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.