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Finding the Fourth Proportional to 515.95, 711.77 and 329.34

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Solution

The fourth proportional to 515.95, 711.77 and 329.34 is: 454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.95 : 711.77 = 329.34 : x
  2. Step 2: Convert to fraction form
    515.95/711.77 = 329.34/x
  3. Step 3: Cross multiply
    515.95x = 711.77 × 329.34
  4. Step 4: Simplify right side
    515.95x = 234,417.21
  5. Step 5: Solve for x
    x = 234,417.21/515.95
  6. Step 6: Final answer
    x = 454.34

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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.