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Finding the Fourth Proportional to 502.65, 757.40 and 413.35

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Solution

The fourth proportional to 502.65, 757.40 and 413.35 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.65 : 757.40 = 413.35 : x
  2. Step 2: Convert to fraction form
    502.65/757.40 = 413.35/x
  3. Step 3: Cross multiply
    502.65x = 757.40 × 413.35
  4. Step 4: Simplify right side
    502.65x = 313,067.50
  5. Step 5: Solve for x
    x = 313,067.50/502.65
  6. Step 6: Final answer
    x = 622.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.