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Finding the Fourth Proportional to 431.70, 650.40 and 413.88

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Solution

The fourth proportional to 431.70, 650.40 and 413.88 is: 623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.70 : 650.40 = 413.88 : x
  2. Step 2: Convert to fraction form
    431.70/650.40 = 413.88/x
  3. Step 3: Cross multiply
    431.70x = 650.40 × 413.88
  4. Step 4: Simplify right side
    431.70x = 269,187.55
  5. Step 5: Solve for x
    x = 269,187.55/431.70
  6. Step 6: Final answer
    x = 623.55

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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.