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Finding the Fourth Proportional to 502.90, 757.78 and 413.60

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Solution

The fourth proportional to 502.90, 757.78 and 413.60 is: 623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.90 : 757.78 = 413.60 : x
  2. Step 2: Convert to fraction form
    502.90/757.78 = 413.60/x
  3. Step 3: Cross multiply
    502.90x = 757.78 × 413.60
  4. Step 4: Simplify right side
    502.90x = 313,412.99
  5. Step 5: Solve for x
    x = 313,412.99/502.90
  6. Step 6: Final answer
    x = 623.21

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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.