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Finding the Fourth Proportional to 505.93, 698.10 and 329.13

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Solution

The fourth proportional to 505.93, 698.10 and 329.13 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 698.10 = 329.13 : x
  2. Step 2: Convert to fraction form
    505.93/698.10 = 329.13/x
  3. Step 3: Cross multiply
    505.93x = 698.10 × 329.13
  4. Step 4: Simplify right side
    505.93x = 229,765.65
  5. Step 5: Solve for x
    x = 229,765.65/505.93
  6. Step 6: Final answer
    x = 454.15

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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.